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A087426 a(n)=S(n,4) where S(n,m)=sum(k=0,n,binomial(n,k)*Fibonacci(m*k)). 0
0, 3, 27, 216, 1701, 13365, 104976, 824499, 6475707, 50860872, 399466485, 3137450517, 24641856288, 193539651939, 1520080160859, 11938864580280, 93769059774789, 736471756750581, 5784324272782128, 45430672644283923 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=9*a(n-1)-9*a(n-2); a(n)=1/sqrt(5)*((9+3*sqrt(5))/2)^n)-1/sqrt(5)*((9-3*sqrt(5))/2)^n

a(n)=3^n*F(2n) - Benoit Cloitre (benoit7848c(AT)orange.fr), Sep 13 2005

CROSSREFS

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

Sequence in context: A118996 A043023 A198686 * A145608 A083713 A065100

Adjacent sequences:  A087423 A087424 A087425 * A087427 A087428 A087429

KEYWORD

nonn

AUTHOR

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

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Last modified February 14 03:03 EST 2012. Contains 205567 sequences.