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Sequence fun? #915767
09/27/13 12:16 AM
09/27/13 12:16 AM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
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CanukDenis  Offline OP
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Joined: Nov 2000
Posts: 18,719
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?


I'm a man of few words, BUT I use 'em often!!
Re: Sequence fun? [Re: CanukDenis] #915821
09/27/13 12:41 PM
09/27/13 12:41 PM
Joined: May 2001
Posts: 2,500
Central Pennsylvania
E
esube Offline
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esube  Offline
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Joined: May 2001
Posts: 2,500
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.


"I could help you if I had my salmon"
Re: Sequence fun? [Re: CanukDenis] #915827
09/27/13 12:54 PM
09/27/13 12:54 PM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline OP
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CanukDenis  Offline OP
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Posts: 18,719
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


I'm a man of few words, BUT I use 'em often!!
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