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Search: id:A087579
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A087579 a(n)=(1/6)*sum(k=0,n,binomial(n,k)*Fibonacci(k)*6^k). +0
1
1, 8, 93, 976, 10505, 112344, 1203397, 12885152, 137979729, 1477507240, 15821470061, 169419470448, 1814178395353, 19426591805816, 208023907911765, 2227562425662784, 23853192734743457, 255424852222168392 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=8*a(n-1)+29*a(n-2)

a(n)=(1/2)*[4-3*sqrt(5)]^n-(2/15)*[4-3*sqrt(5)]^n*sqrt(5)+(2/15)*[4+3*sqrt(5)]^n*sqrt(5)+(1 /2)*[4+3*sqrt(5)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008

CROSSREFS

Cf. A014445, A057088, A015553.

Sequence in context: A081624 A137159 A099291 this_sequence A122419 A121161 A098269

Adjacent sequences: A087576 A087577 A087578 this_sequence A087580 A087581 A087582

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 25 2003

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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