id:A067334 - OEIS Search Results

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Convolution of Fibonacci F(n+1), n>=0, with F(n+6), n>=0.

+0
1

8, 21, 50, 105, 210, 404, 758, 1395, 2530, 4535, 8052, 14184, 24820, 43185, 74770, 128901, 221382, 378940, 646690, 1100655, 1868738, 3165811, 5352360, 9032400, 15216800, 25595469, 42990578, 72110625 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Sixth diagonal of A067330. Sixth column of A067418.`
	FORMULA	`a(n)= A067330(n+5, n) = A067418(n+5, 5) = sum(F(k+1)F(n+6-k), k=0..n), n>=0.` `a(n)= ((29n+40)F(n+1)+18(n+1)F(n))/5, with F(n) := A000045(n) (Fibonacci).` `G.f.: (8+5x)/(1-x-x^2)^2.`
	CROSSREFS	`Sequence in context: A137742 A152117 A075629 this_sequence A066859 A080144 A096018` `Adjacent sequences: A067331 A067332 A067333 this_sequence A067335 A067336 A067337`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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