Math Problem

Check your math:

42^2 + 6 = 1770

Check my notation:

42^2 + 42 = 1806

There's nothing wrong with Mikerho's notation. You seem to have misinterpreted it, and your own version looks clumsier (although it's not 'wrong'). I guess you could have also used "42.42 + 42".

Kris

Kris, thanks - I feel vindicated, albeit by a squirrel no less. My daughter:

is out to get squirrels. Her words: "I'll take 'em down!! They don't stand a chance against me!" I told her that squirrels can be our friends - to "Live and Let Live". She knows that if she goes against me she'll get her a@@ beat, but sometimes she just goes for it anyway.

(Really, you have nothing to worry about - the redneck squirrels of North Carolina taunt her no end and she's never caught one yet).

You're welcome, although a squirrel-kiss can be the kiss-of-death sometimes !

Nice dog, but what type is she ? The ears are humongous !! I can't joke too much - Mrs K has a Yorkie, and when it was a small puppy the ears were as big as the body !

I hope you're not saying you walk the thing from Akron _{(where 'burn rubber' takes on a whole new meaning !)} to North Carolina . It'd get beat up by some Bob Cats on the way

I may start logging in soon, typing my name each post is even more of a pain !

Kris

She's a miniature pinscher or min-pin as they are affectionately called. They usually have their ears cropped when young, but somehow she got passed by (I like it). Actually, I am not with her mother any more, but I get visitation and I pay doggie support. I had to move away from NC when I lost my job in June. Muuuuch better job now - working in the medical device industry.

Are you having trouble logging in? I hope it isn't serious - like a virus/malware or something.

Oh, and her name... is Bambi Jo.

Mike

Wow - I never knew they cropped dogs ears ! It would make for a good chat on one of the animal blogs (there's a fair number of them running). I'm glad Bambi Jo didn't get cropped, it seems a bit barbaric unless done for health reasons. Crufts dog show used to be a big event here, but has run into big trouble over similar issues. I'd best not ramble about it here, but CR4 has a lot of dog fans.

Excellent news that you moved on and found a better job. It's always bad when you hear somebody has lost a job, but terrific when you hear it turns out for the better. That's a very positive story for anyone who finds themselves in similar situation.

No problem logging in, I was just experimenting; There's been a lot of discussion about the problems related to posts by Guests, and I just wondered if simply signing my name would make any difference. Nobody has sought clarification that it really is me (which a sane person would do by sending a PM) rather then someone causing mischief by signing 'Kris' (which hasn't happened that I know of). Your question is on a different (and kind/helpful) angle, so I'm happy to clarify. It is I ! The conflicker virus is one usually associated with April 1st, and I've not been targeted/hit by it.

Having experimented a little, and found no problem with adding a name (rather than signing in/ registering) I shall now revert to normal and not check the 'anonymous' box. When people want to post while not logged in, the system could request some form of name be entered to help distinguish between Guests. When members want to post anonymously, the system could use 'Anon wxyz' (where wxyz is cryptically linked by admin to the user number that people already have).

My final philosophical thought - that stuff not related directly to the thread is often very useful.

Many thanks, Mike

Kris

Come on Kris!!

Even out Trolls (guests) have more "savoire faire" than to sign on under your name!!!

Like we can't see the bushy tail and sharp teeth and nails hidden behind that furry guest Kris. And the Mouse Trap won't hurt my finger either, NOT going to find out mate, next you will complain cause no one would pull your finger

Many moons ago when listening to Morse code you would start recognising individuals by the way they keyed.

If you hadn't been that furry little expletive keying those notes, some thinking they were cute guest would have gotten third degree burns.

Hey....

listening to Morse code you would start recognising individuals

.....I could never make up my mind if it was urban-myth. You might have inspired me for some frivolity next weekend !

Del recycles all my best gags, but he does it so good that nobody can locate my originals - sometimes, not even me

f(x) walks into a bar : "Sorry, we don't do functions"

Mikero,

Please forgive the confusion. My reply above was a poor attempt at humor.

I scratched out the first part of my reply after I realized that I had carelessly misinterpreted your notation. My reply says, "Check my notation" - this was meant to be an admission of my own mistake ... I guess should have put an "oops" in there somewhere . GA by the way.

Hi EE,

No problemo! I've done the same kind of thing before. With this kind of admission, I consider you a friend.

Mike

You guys are so funny! It's simply the number multiplied by the number that follows it (in numerical order). 1x2=2, 2x3=6, 6x7=42, 42x43=1806, 1806x1807=3263442. Why make is look more complex than it is?

#3's formula is no more complexed than yours. You can easily get your formula by rewriting the formula from #3. What makes you like yours better is that it's yours. I'll give you a good answer though since you've found a nice way to rewrite the equation from comment #3.

Edgar,

x_i²+x_i = x_i(x_i+1) = the integer times the next integer. It's the same thing. Do you not understand algebra?

Mike

What ! a real mathematical genious amoung us. and they told me I coulde'nt add three digit numbers, yet I am designing power plants for a living.

Because we can !

2⁰ = 1

2¹ = 2

2² + 2¹ = 6

2⁴ + 2.2³ + 2.2² + 2¹ = 42

2⁸ + 4.2⁷ + 8.2⁶ + 10.2⁵ + 9.2⁴ + 6.2³ + 3.2² +2.2¹ = 1806

2¹⁶ + 8.2¹⁵ + 32.2¹⁴ + 84.2¹³ + 162.2¹² + 244.2¹¹ + 198.2¹⁰ + 302.2⁹ + 258.2⁸ + 188.2⁷ + 118.2⁶ + 64.2⁵ + 30.2⁴ + 12.2³ + 4.2² + 2¹ = 3263442

All the above is a sort of binary. Using coefficients for each power of 2 makes it easier to expand onward. Of course, you need to multiply out all the coefficients to get the final answer. Electronic calculators all go to binary at some point, but there are probably different ruses to speed up the work on the really flash ones. There was a link I posted somewhere in this thread, saying how large multiplications are quicker if broken down into component steps. Thought I'd play a little. Keeping it all in pure binary doesn't' show any nice pattern. Curse that additive term ! If you really want, you can 'simplify' multiplication (not that it's really any different). Even the last number given above could be squared with a 16x16 grid, though I did it by cross-multiplying on paper.

Roger is currently on the 17th term, so the next number would need a 131072 x 131072 grid. A team of people could work on it at the same time, and also verify others cells. Allowing 1m² per cell, a decent size ranch could easily accommodate that.

A ranch, about 100 people, and copious amounts of beer is all it takes. Some cells might require a laptop, but apart from that, the principle is sound.

I'm sorry Kris. I've thrown in the towel for now. I am unable to get the next digit. I hope you can find it in your heart to forgive me.

Roger

No need for sorry - it's been fun, and we juiced this question real good ! If I make a monumental leap forward, I'll let you know. Drat, I've got no evil emoticon-grins on this computer !

;>

Don't feel too bad, Roger. You didn't let anyone down, the computers did.

Remember that episode of Star Trek where the Jack-the-Ripper demon got into the ship's computer? They told the computer to compute pi to the last digit to fill up its memory and drive out the demon. Well, you might have discovered something that could do that job faster!

Even if you did find the elusive term, it might have broke Globalspec's servers!

Someone finally proved Fermat's Last Theorem a few years ago. Someday, someone will find Pink's Elusive Term!

Well done, and in only 11 minutes!

I always arrive an hour late to these questions, but even had I seen it the moment it was posted I can confidently say I wouldn't have gotten the answer as quickly as you did.

Thanks, Roger. But don't underestimate your own abilities.

Right on the mark.

Thanks folks for your help..........

Is this sequence well-defined? I wonder because there is no definition of the term X₀. A look at the formula X_n+1 = X_n(X_n + 1) or X_n+1 = (X_n)² + X_n has no solution for n=0

You're right, it has no solution for x = 0. However, the OP started at 1.

Mike

I came up with the answer=What is John Riggin's haircut.

I must have left out a step.

Sure looks like homework to me

1,2,6,42,1806,3263442,10650056000000,

Your last number is wrong. It should be 10,650,056,950,806. You have probably run up against your calculator/program's integer limit.

What calculator/program did you use to calculate these values? I'd be interested in knowing.

Mike

you r right. my calculator has rounded the figure after 0056. in scientific notation it is showing this figure as 10650056 13. it means 10650056 ten raised to the power 13. thanq for observation.

Hi,

Next no supposed to be 3263442...

Here under the solution...

1

1*1 +1 =2

2*2 +2 =6

6*6 +6=42

42*42 +42 =1806

1806*1806 +1806 =3263442

Almost anything you like.
By deffinition there must be an infinite number of possible solutions to such a small series.
I'm sure some extremely complex mathematical (although ..who said it has to be maths based?) equation or function could justify almost any answer.

Plug 'em into a curve fitting program.
Del

April 04, 2009

Hi Dear,

I have got the answer and quite confident that it is correct.

Your queation was:

Need help with this one....

1,2,6,42,1806, what is the next number???

and the ANSWER is:

NEXT Number is 3263442. Next to this should be 10650056950806.

Pls verify and let me know.

Thanks.

Ulhas Shah

it's correct

If your right, I got the following for the next one;

113423713055421844361000442

I didn't check it very well

...and then...

12864938683278671740537145998360961546653259485195806

...I think....

Now that you've had a good sleep, Kris, how about giving us the next?

165506647324519964198468195444439180017513152706377497841851388766535868639572406808911988131737645185442

.....I think (not fully awake !)

Wow! I'm impressed. That is what I call precision!

I'm starting to get a little uncertain....

2739245030860303142341023429167468628119436436758091462794736794160869202622699363433211840458243863492954873728399236975848797430631773058075388342946

Hi Kris, I think you're missing some place holders.

The calculator you posted shows e+208, which I'm assuming means 10²⁰⁸ however the problem is that the number:

273924503086030314234102342916746862811943643675809
1462794736794160869202622699363433211840458243863492954873728399236975848797430631773058075388342946

has only 151 digits, which seems to mean it should actually be:

273924503086030314234102342916746862811943643675809
146279473679416086920262269936343321184045824386349295487372839923697584879743063177305807538834294600
000000000000000000000000000000000000000000000000000
00000

Which means of course that for the last 58 places your calculator said "I give up".

If I'm missing something here, let me know. The effort though was magnificent. I stopped trying after 6 in the sequence.

Your quite right Roger ! I really should have bothered to look at the number of digits (about the most fundamental check to make). Oddly, the last digit seemed to make sense. Not a good basis to go on, but reasonable for some OTT fun. Now I've made an error, I shall have to go check and find the correct answer for that place in the series. This will probably not benefit me one jot, bit it's a giggle to do so .............

It's cool. You've inspired me. I've responded with several more terms. I don't know if they are right or not, but it was fun to do. I can't believe how calculating these terms are entertaining me!

ROFL !!

I'm going to have to start over on this - scrolling around is killing me. I'll endevour to find the real numbers, just our of pure bloody-mindedness !!

As an interim thought, last digit ; 2² + 2 = 6 ?

Crap, I you're right and your original value was correct (my bad), which means all those numbers I calculated afterwards are wrong. Hang on, I'm going to go jump out of a first story window..............

12864938683278671740537145998360961546653259485195806

......aahhhhhh............ok, I'm better now, back to the drawing board.

Roger, why don't you and Kris go and have a beer and quit beating yourselves up?

I know. I know this shouldn't be fun, but I can't help myself. I'm gonna keep going until the computer can't go anymore.

Aw, c'mon - it's a hoot !

..and with input from #24, I got the same answer as my original at the website you mention ???

12864938683278671740537145998360961546653259485195806

Can you try your's again please Roger ? X² + X , yes ?

...from that number, petting-zoo gives

165506647324519964198468195444439180017513152706377497841851388766535868639572406808911988131737645185442

This number looks correct, though I'm verifying it using the same calculator as you.

I increased the display digits on BCalc, and got;

1.65506647324519964198468195444439180017513152706377497841851388766535868639572406808911988131737645185442e+104

Yeah !!!!!!

I've gotten the next value:

273924503086030314234102342916746862811943643675809146279473679416086920262269936343321184045824386349295487372839923697584879743063177305807538834294603449564100770347613304760167394546498283855415002139
20806

Please check me.

Roger, I'm laughing so bad I can hardly type !!!

Somewhere, someone is feeling very sorry for both of us right now.

Here's the next value (I hope):

750346333909286311464218348364293017384724140073732363176684391768374238237200233203724274839819736227493060107386942069521875902258281351952761393460726027774387698896086030486687796275661950199835484418384103096899499524666007073298797852932127876923983340497448231960048833094195425231846478785035602339261149953564729371337917773386670133413581537490788020231265093210310224397095644371148893261284201611
453610442

And the next one (hopefully):

563019620811106188735345793029131127645126456201508328395934709948713369875017428398616526515350801978901280848429236023780360625686785326318172135941491985234945009397938528773976977887356630327917721419666751591559883455828027643329740930320548089836575156581070880066847294722353255119648341271402723167206816552066010592134725124376810874159292118224274440907862996344067325025151751506647339684959479438354192989470470488621172745980086435801519575581664038703641801974453354864238123148678312993828328158261237284571445163949954735321181426755485563860804935755099928085508785637606452207007984638610604113718738727804169240213041488645142155664706600019329809186121988322464207409749450811638629159492106903853533242008723387118397794980575878357156285111258733862431522178328441469980110808406224908967784943
255608168545045806

And the next one (again, hopefully):

316991093418281796980738587324498503465985663563441351614965595710659626509023026378810664917769979749230375616949095839488230630774365784766585678394020150307543448990686716629735821013846949520218610883960194258122308878890968113466913053158083723070515602776324450012006168592325685889943262781933132780014500164781142497008320197365141855119010118077705678576368755229432787283587491897170937657553086679827144799087397199129432233281774986701578182361474362882421927116451702868297347253630717771757957438615228337552613006602138504913204731416596016919892552584014059657038635241014722034375088903021315484876024289828564177721518967548558336213757430766087730295001595138792039193609746512786881659903942227205537012891959828532940594409566163694454653037016800027294499421291400492041597627904670868358757293568071192353450861046220903121264904877170553117406388566305811088048722332066039563082830094354238880920553702156022717609505663704069061610519598560624334935881397512984533454362321248854729174814176943381209734396537109715522733592519084452225492188715705481658124794599731527140827530319488791822858978924780015280035310521766457660381662363459675166288099343838361130665940967928850877954452552005403436587169730515877297387774041696625714088910160966686976352250237188765370786055553236020704945964404004577531357576565107610684603955726197582253686411381871520005412537060114403951740688011605681233186481569161991920354077827812176666950510226500521720520469387009627382085749910481677989034236154462513159644551504513525508614268492165297534777956118363272320828495465015734808069866823697938666550506233479
919235237378935603448169915183235442

I wonder if the NSA wil believe what your doing, Roger.

10048093416376884164551931570475075683021351020448825903866971885626582071349024284350611473369089487009193521345520056261400093446965735306374561185437957307956549622231217985291746504668916272049410911096822508481709228626353791717452463251262751723482817347451549858450234863745931671137054623745327092332379650974052021214965353462899444306857250355668656411862597555977712716501172171674069824842830689162518835149492982438437185337391738714741296262487271925340760881184647102727703397694041113219692672270695042440229343214387147907528985607553630093828823748710460272046558388117950141389546988185910483647791808009766098526082755332785894294066593921022536307822797131936108814689971395179538782763259019642904920626769917943939374442909850152276535858884939922658093996088515815013135187434212412933288133816949044125458924134016718759723883921025240745955540416729133977832057617955117084294292513709354613297979044039230859588203218809478185523099993321137260207951666749120973339930176275758317424018880225154983814636414427401062461820531121893608662906489092757444051703177262228172824508376010802926267964448646247174693420509729366102925928350042011415435164922209764297003917384594246855839437958915269815303319804891265376862708467773068931768350334293112946442539333923108590811584322979325387197401509083761855155720137035393173003049608510519779553092637311466365657243531029555531083287608953422606996770303750473203448806978314382049102700582463106499644288429206881722988844345618416137763124831305827678892179550735529506282615188691042757150565917749519141839797859653425893200777090204566841943304841654
655636528075042993525997099218082942316991093416376884164551931570475075683021351020448825903866971885626582071349024284350611473369089487009193521345520056261400093446965735306374561185437957307956549622231217985291746504668916272049410911096822508481709228626353791717452463251262751723482817347451549858450234863745931671137054623745327092332379650974052021214965353462899444306857250355668656411862597555977712716501172171674069824842830689162518835149492982438437185337391738714741296262487271925340760881184647102727703397694041113219692672270695042440229343214387147907528985607553630093828823748710460272046558388117950141389546988185910483647791808009766098526082755332785894294066593921022536307822797131936108814689971395179538782763259019642904920626769917943939374442909850152276535858884939922658093996088515815013135187434212412933288133816949044125458924134016718759723883921025240745955540416729133977832057617955117084294292513709354613297979044039230859588203218809478185523099993321137260207951666749120973339930176275758317424018880225154983814636414427401062461820531121893608662906489092757444051703177262228172824508376010802926267964448646247174693420509729366102925928350042011415435164922209764297003917384594246855839437958915269815303319804891265376862708467773068931768350334293112946442539333923108590811584322979325387197401509083761855155720137035393173003049608510519779553092637311466365657243531029555531083287608953422606996770303750473203448806978314382049102700582463106499644288429206881722988844345618416137763124831305827678892179550735529506282615188691042757150565917749519141839797859653425893200777090204566841943304841654
655636528075042993525997099218080806

Maybe....

Really???? I feel like you should get an award or something. My computer actually crashed when I tried to calculate that one. I took that as a sign I should go to lunch.

Well done Sir, well done!!

I hate to say this, but perhaps I better,,,,,,,,,,,,,,I made it up !

I copied the previous (correct) answer, twice, then rigged the open and close digits to look convincing.....

,,,,,couldn't help myself....

,,,,,,got impatient with processing time,,,,,

just a little joke,,,,,,,,

AHhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

It's......it's alright......funny joke........good one.......

Yep, BCalc says ;

2.7392450308603031423410234291674686281194364367580914627947367941608692026226993634332118404582438634929548737283992369758487974306317730580753883429460344956410077034761330476016739454649828385541500213920806e+208

Ya gots ta be quick, Roger ! I checked it on both !

I did check it again and your value is the correct one. Keep going, you're on a roll.

Good Morning the next number is 3263442

3263442

1806 x 1807 = 3263442

That's easy....3,263,442

To find the next number, take the sum of the number and the square of the number

1squared +1 = 2, 2squared+2=6, 6squared+6=42, etc.

I love MATH!

Good observation, Keywalker.

Go on, tell 'em how to do the binary -1 thingy.

... The base are loaded, Kris takes a swing.......kthwack - OMG, he hit the back of the recievers head !!

Simple problem...

seeing to your question, 1 square is 1 and add 1 with that is 2,

2 square is 4 and add 2 with that so its 6,

similarly 6 square is 36 and add 6 with that so u get 42,

and 42 square is 1764 and add 42 with that so you get 1806.

So the next number must be square of 1806 ana then add 1806 with the result, so u get 3261636+1806=3263442.

problem solved...!!!!!!

I got the following on XL in few secs.

This was a fun little exercise. I stuck it up in front of my small group adn gave them 1 minute. We all got the concept, but since non had calculators, we could only get the 3,263,442. This was a snap in EXCEL, and fun.

10,650,056,950,806

3263442 next in series is the last number times the last number plus 1

As inspired by Kris, I've tried to go as far as accuracy allowed. I'm not sure these are correct and would appreciated verification.

1
2
6
42
1806
3263442 (ba/ael)
113423713055421844361000442 (Kris got this first)
128649386832762558025299218704617918799187935127329
38
165506647324457802409817119540974694045849497162376699240612878027449902568190079709253015421527222844
782
273924503085824550449475682214577292711806968883011366529091384653033212925149377013604207725923350564092115574123632178048906628354557572664122422777741470540463626442636548142794177979298877099255520874
72306
750346333908159036615079591822826450483810804431086070349108396494336730742658964021094940020599112814688231981705235107159867960941659992396277842231576828667134390882688437804180558668111382710054233400341617482571249783665967536265206879913550083247535007041941667412044657792601379355564285039507288090321364927148586899335358987061186835608865960555843607192575151770654150468096063693789051085961102780
404429942
563019620809414495634628244240418700356373034351584670636877909458114141269206466111578301654574772553801031410368702773042835256138469932200321404008155554236965514092761915806142095588679490946858407431175381099755392168649473321001627099416623202213638785575228806917921507508183014579008585868950880030520644649516985540769926708432331729051143043909735248619039422575376694293378107418961303361299322897842899477666535307154309888786097615418675827488803555685359634385486107178653609262866716864108167926051230048515819296673653210711449724546175176912220682116553079757634848055905385235462273745675991011490034834054384460252225118825760813124352227845714741098406652767851466247980958237483894267231343401308831616052837861107840961392688641253548625432463545697488475113923834193452006936945638229373351109
267543878390553306
316991093416376884164551931570475075683021351020448825903866971885626582071349024284350611473369089487009193521345520056261400093446965735306374561185437957307956549622231217985291746504668916272049410911096822508481709228626353791717452463251262751723482817347451549858450234863745931671137054623745327092332379650974052021214965353462899444306857250355668656411862597555977712716501172171674069824842830689162518835149492982438437185337391738714741296262487271925340760881184647102727703397694041113219692672270695042440229343214387147907528985607553630093828823748710460272046558388117950141389546988185910483647791808009766098526082755332785894294066593921022536307822797131936108814689971395179538782763259019642904920626769917943939374442909850152276535858884939922658093996088515815013135187434212412933288133816949044125458924134016718759723883921025240745955540416729133977832057617955117084294292513709354613297979044039230859588203218809478185523099993321137260207951666749120973339930176275758317424018880225154983814636414427401062461820531121893608662906489092757444051703177262228172824508376010802926267964448646247174693420509729366102925928350042011415435164922209764297003917384594246855839437958915269815303319804891265376862708467773068931768350334293112946442539333923108590811584322979325387197401509083761855155720137035393173003049608510519779553092637311466365657243531029555531083287608953422606996770303750473203448806978314382049102700582463106499644288429206881722988844345618416137763124831305827678892179550735529506282615188691042757150565917749519141839797859653425893200777090204566841943304841654
655636528075042993525997099218082942

That's as far as I can go as the high precision calculator I'm using found here (http://www.petting-zoo.org/Calculator.html - sorry, link no longer available) gave me the message: "Java Script is not responding"

Somewhere there is a server crashing tying to calculate the square of that last number.

Feel free to check my answers

Kris has caught an error which makes all of these values wrong. I will calculate new values (assuming I didn't break the calculator last time).

I've only just seen your post #51 - this is so funny it's killing me !!

OK everybody; don't get Roger drunk so fast that he gets the spins - he'll spew... lots of numbers.

After what I can only call a frenzied collaboration with Kris, we now have the first 15 terms of this series. Please feel free to check our numbers.

As Presented to CR4 as a Joint Collaboration of

and

We Proudly Present The First 15 Terms Of The X_(i+1) = (X_i)² + X_i Sequence:

1

2

6

42

1806

3263442

10650056950806

113423713055421844361000442

128649386832786717405371459983609615466532594851958
06

165506647324519964198468195444439180017513152706377497841851388766535868639572406808911988131737645185
442

273924503086030314234102342916746862811943643675809
146279473679416086920262269936343321184045824386349295487372839923697584879743063177305807538834294603449564100770347613304760167394546498283855415002139
20806

750346333909286311464218348364293017384724140073732363176684391768374238237200233203724274839819736227493060107386942069521875902258281351952761393460726027774387698896086030486687796275661950199835484418384103096899499524666007073298797852932127876923983340497448231960048833094195425231846478785035602339261149953564729371337917773386670133413581537490788020231265093210310224397095644371148893261284201611
453610442

563019620811106188735345793029131127645126456201508
328395934709948713369875017428398616526515350801978901280848429236023780360625686785326318172135941491985234945009397938528773976977887356630327917721419666751591559883455828027643329740930320548089836575156581070880066847294722353255119648341271402723167206816552066010592134725124376810874159292118224274440907862996344067325025151751506647339684959479438354192989470470488621172745980086435801519575581664038703641801974453354864238123148678312993828328158261237284571445163949954735321181426755485563860804935755099928085508785637606452207007984638610604113718738727804169240213041488645142155664706600019329809186121988322464207409749450811638629159492106903853533242008723387118397794980575878357156285111258733862431522178328441469980110808406224908967784943
255608168545045806

316991093418281796980738587324498503465985663563441351614965595710659626509023026378810664917769979749230375616949095839488230630774365784766585678394020150307543448990686716629735821013846949520218610883960194258122308878890968113466913053158083723070515602776324450012006168592325685889943262781933132780014500164781142497008320197365141855119010118077705678576368755229432787283587491897170937657553086679827144799087397199129432233281774986701578182361474362882421927116451702868297347253630717771757957438615228337552613006602138504913204731416596016919892552584014059657038635241014722034375088903021315484876024289828564177721518967548558336213757430766087730295001595138792039193609746512786881659903942227205537012891959828532940594409566163694454653037016800027294499421291400492041597627904670868358757293568071192353450861046220903121264904877170553117406388566305811088048722332066039563082830094354238880920553702156022717609505663704069061610519598560624334935881397512984533454362321248854729174814176943381209734396537109715522733592519084452225492188715705481658124794599731527140827530319488791822858978924780015280035310521766457660381662363459675166288099343838361130665940967928850877954452552005403436587169730515877297387774041696625714088910160966686976352250237188765370786055553236020704945964404004577531357576565107610684603955726197582253686411381871520005412537060114403951740688011605681233186481569161991920354077827812176666950510226500521720520469387009627382085749910481677989034236154462513159644551504513525508614268492165297534777956118363272320828495465015734808069866823697938666550506233479
919235237378935603448169915183235442

100480934163768841645519315704750756830213510204488
25903866971885626582071349024284350611473369089487009193521345520056261400093446965735306374561185437957307956549622231217985291746504668916272049410911096822508481709228626353791717452463251262751723482817347451549858450234863745931671137054623745327092332379650974052021214965353462899444306857250355668656411862597555977712716501172171674069824842830689162518835149492982438437185337391738714741296262487271925340760881184647102727703397694041113219692672270695042440229343214387147907528985607553630093828823748710460272046558388117950141389546988185910483647791808009766098526082755332785894294066593921022536307822797131936108814689971395179538782763259019642904920626769917943939374442909850152276535858884939922658093996088515815013135187434212412933288133816949044125458924134016718759723883921025240745955540416729133977832057617955117084294292513709354613297979044039230859588203218809478185523099993321137260207951666749120973339930176275758317424018880225154983814636414427401062461820531121893608662906489092757444051703177262228172824508376010802926267964448646247174693420509729366102925928350042011415435164922209764297003917384594246855839437958915269815303319804891265376862708467773068931768350334293112946442539333923108590811584322979325387197401509083761855155720137035393173003049608510519779553092637311466365657243531029555531083287608953422606996770303750473203448806978314382049102700582463106499644288429206881722988844345618416137763124831305827678892179550735529506282615188691042757150565917749519141839797859653425893200777090204566841943304841654
655636528075042993525997099218082942316991093416376884164551931570475075683021351020448825903866971885626582071349024284350611473369089487009193521345520056261400093446965735306374561185437957307956549622231217985291746504668916272049410911096822508481709228626353791717452463251262751723482817347451549858450234863745931671137054623745327092332379650974052021214965353462899444306857250355668656411862597555977712716501172171674069824842830689162518835149492982438437185337391738714741296262487271925340760881184647102727703397694041113219692672270695042440229343214387147907528985607553630093828823748710460272046558388117950141389546988185910483647791808009766098526082755332785894294066593921022536307822797131936108814689971395179538782763259019642904920626769917943939374442909850152276535858884939922658093996088515815013135187434212412933288133816949044125458924134016718759723883921025240745955540416729133977832057617955117084294292513709354613297979044039230859588203218809478185523099993321137260207951666749120973339930176275758317424018880225154983814636414427401062461820531121893608662906489092757444051703177262228172824508376010802926267964448646247174693420509729366102925928350042011415435164922209764297003917384594246855839437958915269815303319804891265376862708467773068931768350334293112946442539333923108590811584322979325387197401509083761855155720137035393173003049608510519779553092637311466365657243531029555531083287608953422606996770303750473203448806978314382049102700582463106499644288429206881722988844345618416137763124831305827678892179550735529506282615188691042757150565917749519141839797859653425893200777090204566841943304841654655636528075042
993525997099218080806

That's as far as we've gotten. Good luck to anyone trying to top that.

The last one looks a bit 'iffy'

(for anyone who doesn't notice my earlier post, I messed around. Just an itty-bit.)

I'll GA anyone who can do it for real (or at least provide a verifiable way).

You can have one anyway, Roger. In part for my naughtiness, in part for picking up an 'error', in part for summarizing, and mainly for finding a nice on-line calculator. I've enjoyed this little bit of fun.

Yeah, me too. Nothing like finding something completely irrelevant and applying ten times more effort to it than is required to get answers nobody cares about.

The really twisted part, is that I want to know the correct final number on the list ! Utterly useless to me, but I just want to know. Dammit, I need to know ! It's like not having solved the final clue in a crossword/looking for a washer I dropped on the floor. Even worse, I shall ponder this loss for longer than it would take me to find it.

Fortunately, I've found a more useful matter to ponder.

I hear you. Luckily having my computer crash twice has tempered my enthusiasm. I just hope some other sad CR4 member takes up the challenge and delivers that last term.

It'll happen !

Ok, I've got the 15th term (the real 15th term). Enjoy!

100483353306517857188816511171973264968130481955993490961776578914384855009465596512878627978186320098524674810822809215084298821790532480217571435837318997038501027166944291436298311859998927368878478765662052261013905379683606908563327049366289350227874801320137528476359434996625155321924896471487253609774383161294073700386567438895729619959183688827019175395384990049660760826706275656247200320644562229907983316938796200727194177710641698165578469600709422183645673081099011178658794923207340118316226811044120124994280172667435132674250477913878334229469634774955766654959747171269329356217729819952093850230832136940392143299736102334976183356619572749168857678782222255344301700168226608019630704240193738779198063738629831841413772846575231497629810592678428725195220732911880790353530776313807267315574488856933933931968726196972550157616749777588888821303729634383570842953721086839502335017753789603211887639264756326943906234925564059713122739441052488376985825209930025027331642643833862623818612641648534007690784009230583997364206027891426162271405399576520661523570494921380174573570295575834537952976231451138917903119690734728050868143651943079046629073247009723903287946523072583428647088990713577505274669321894108556505593299658881909461644436220683735665670039545950199079805499092674406353548516096407916275052371510047476698658893306349068133879014809524920709542592832744670134019181012820484031829100985336532444887396195766078330294774788615792775829183741076029977456631131003360810557200089618493958319779112283680033864350359591347851857639767660909655544622503481811302270128415655545885368248621757558781407774929247336942808205264958129961178967782261436710020914320953492879039247990865098954170193648898076402861312803632817456574773061811978648089614340109760702469211985641224691799075765885167117855362986656144090527289697873066081524676142089795828969028242126025160985084779781007974719610529121366009147473928798323429514961662955075830495059188425232901129844306717176754536658533793214326255403412914373598713551532524170357661947859352181097102731800860434424406585016086605044703266455861041380556886689319004123095655013285849524741495205262970148746426581276319938997140587845485798731493239638046736464142096404810367841352036464369335995230683471276720095626585363049720580305501778636182605592068492151793190258602236893550140479021220581841241476297575889705144565984983772835663470728331437295945770147420128139970898197153180098987682528952187399111614545313650329728193759220800741639763444502297436225484681500013482802572032911312979385547883726365017125898034265710900263014307543995711388447583272341504352098242603013317289071851486202200363353430637400418445403028209289752937101610106546407815385279051077386957963745649023423516876644029840971378691516442745761797057396994687382618710236478541855961623090443801434726418529440871490091117324165342131670988126442133481305788646667033011070351616554711007362680081909808994105138595194669575127185645557552945017168697977343707144183186705714691228418618276386168995938283316172058534438295911377445943568762495111242585896098376432273844229629284777619272064792008892485171141118486114024760197688360378085790695965894817048250719620713759873671293320363983916413298621510321025850259140267373664767
105414000002388170806

Enough you say? No, I'm not stopping. Next up, the 16th term. I'm going to reserve time on a supercomputer to get this to 20 terms (just kidding, at least I think I'm kidding).

Dear Roger Pink,

I think you have too much time on your hands.....I printed out the 1st 15 terms to hang in my classroom, my 11th grade students were impressed......of course I'm the strange one finding this all very amusing!

~Christine (fellow New Yorker!)