id:A087584 - OEIS Search Results

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a(n)=(1/7)*sum(k=0,n,binomial(n,k)*Fibonacci(k)*7^k).

+0
1

1, 9, 122, 1467, 18205, 223992, 2762333, 34044669, 419657674, 5172750495, 63760719089, 785929242096, 9687552661513, 119411072879553, 1471889315038010, 18142857823403763, 223633182327192277 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=9a(n-1)+41a(n-2)` `a(n)=(1/2)[9/2+(7/2)sqrt(5)]^n+(1/2)[9/2-(7/2)sqrt(5)]^n+(9/70)[9/2+(7/2)sqrt(5)]^nsqrt(5) -(9/70)sqrt(5)[9/2-(7/2)*sqrt(5)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]`
	CROSSREFS	`Cf. A014445, A057088, A015553.` `Sequence in context: A112941 A045976 A053889 this_sequence A138438 A085528 A078422` `Adjacent sequences: A087581 A087582 A087583 this_sequence A087585 A087586 A087587`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 25 2003`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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