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Old 2017-05-25, 09:09   #1
MattcAnderson
 
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"Matthew Anderson"
Dec 2010
Oregon, USA

38A16 Posts
Default 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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Old 2017-05-25, 22:57   #2
BudgieJane
 
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"Jane Sullivan"
Jan 2011
Beckenham, UK

277 Posts
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Have you looked at Lucas sequences?
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