id:A087426 - OEIS Search Results

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a(n)=S(n,4) where S(n,m)=sum(k=0,n,binomial(n,k)*Fibonacci(m*k)).

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0, 3, 27, 216, 1701, 13365, 104976, 824499, 6475707, 50860872, 399466485, 3137450517, 24641856288, 193539651939, 1520080160859, 11938864580280, 93769059774789, 736471756750581, 5784324272782128, 45430672644283923 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=9a(n-1)-9a(n-2); a(n)=1/sqrt(5)((9+3sqrt(5))/2)^n)-1/sqrt(5)((9-3sqrt(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: A127222 A118996 A043023 this_sequence A083713 A065100 A035088` `Adjacent sequences: A087423 A087424 A087425 this_sequence A087427 A087428 A087429`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 23 2003`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

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