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Search: id:A087453
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A087453 a(n)=S(n,5) where S(n,m)=sum(k=0,n,binomial(n,k)*Fibonacci(m*k)). +0
1
0, 5, 65, 790, 9555, 115525, 1396720, 16886585, 204161685, 2468349470, 29842764575, 360804095305, 4362182828640, 52739531723965, 637629901296505, 7709053867890950, 93203771368320795, 1126849435241369885 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=13*a(n-1)-11*a(n-2); a(n)=1/sqrt(5)*((13+5*sqrt(5))/2)^n)-1/sqrt(5)*((13-5*sqrt(5))/2)^n

CROSSREFS

Cf. A001906 (S(n, 1)), A030191 (S(n, 2)).

Sequence in context: A061184 A118004 A155653 this_sequence A103974 A006278 A121822

Adjacent sequences: A087450 A087451 A087452 this_sequence A087454 A087455 A087456

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 23 2003

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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