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#915767 - 09/27/13 12:16 AM Sequence fun?
CanukDenis Online   content
Graduate Boomer

Registered: 11/26/00
Posts: 15182
Loc: Ottawa Ontario Canada
1,9,7,17,33,57,107,197****

Starting with 4th term, each term is the sum of the 3 previous terms.

1st 3 terms: a=1, b=9, c=7
100a + 10b + c = 197****
So 8th term is the first 3 terms "stuck together"!

a,b,c being digits from 1 to 9, there is another similar sequence;
this one has 11 terms: can you find it?
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#915821 - 09/27/13 12:41 PM Re: Sequence fun? [Re: CanukDenis]
esube Offline
Addicted Boomer

Registered: 05/07/01
Posts: 2500
Loc: Central Pennsylvania
Well, I admit I programmed this to find the answer, it seems impossible otherwise. Since I cheated, I won't give it away, but Denis, is it the year Charlemagne was born?

Interestingly, it appears that these two are the only such answers, at least up to 20 terms.
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#915827 - 09/27/13 12:54 PM Re: Sequence fun? [Re: CanukDenis]
CanukDenis Online   content
Graduate Boomer

Registered: 11/26/00
Posts: 15182
Loc: Ottawa Ontario Canada
Had to look up Charley's birth year...YES!!

Don't think you cheated...computer allowed unless
otherwise specified...certainly allowed after 24 hours...

Agree: only 2 solutions.

I like these...I even invented one kind (the Borris numbers):
http://www.cadaeic.net/mari.htm

You'll see mine is the "inferior" one frown
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