mersenneforum.org Generalized Fibonacci Sequence
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2017-05-25, 09:09   #1
MattcAnderson

"Matthew Anderson"
Dec 2010
Oregon, USA

4A816 Posts
Generalized Fibonacci Sequence

Hi Mersenneforum,

According to the Maple Computer Algebra system, we see that the expression -
c(r) = a*c(r-1) + b*c(r-2)
can be expressed in terms of radicals.

If we choose c(1) = 2 and c(2) = 1 as well as a = 6 and b = 7 then we have this sequence.

2,1,20,127,902,6301,44120,308827,2161802

Good fun.

Regards,
Matt
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 2017-05-25, 22:57 #2 BudgieJane     "Jane Sullivan" Jan 2011 Beckenham, UK 337 Posts Have you looked at Lucas sequences?

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