id:A067331 - OEIS Search Results

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Convolution of Fibonacci F(n+1), n>=0, with F(n+3), n>=0.

+0
3

2, 5, 12, 25, 50, 96, 180, 331, 600, 1075, 1908, 3360, 5878, 10225, 17700, 30509, 52390, 89664, 153000, 260375, 442032, 748775, 1265832, 2136000, 3598250, 6052061, 10164540, 17048641, 28559450, 47786400 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Third diagonal of A067330. Third column of A067418.`
	FORMULA	`a(n)= A067330(n+2, n) = A067418(n+2, 2) = sum(F(k+1)F(n+3-k), k=0..n), n>=0.` `a(n)= ((7n+10)F(n+1)+4(n+1)*F(n))/5, with F(n) := A000045(n) (Fibonacci).` `G.f.: (2+x)/(1-x-x^2)^2.`
	CROSSREFS	`Adjacent sequences: A067328 A067329 A067330 this_sequence A067332 A067333 A067334` `Sequence in context: A116731 A116722 A116730 this_sequence A116734 A101836 A122439`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002`

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.

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