id:A067981 - OEIS Search Results

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Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+3), n>=0.

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4, 19, 48, 107, 220, 432, 822, 1529, 2796, 5045, 9006, 15936, 27992, 48863, 84840, 146623, 252368, 432816, 739914, 1261285, 2144484, 3637609, 6157218, 10401792, 17541100, 29531947, 49644192, 83336339 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Third diagonal of triangle A067979. Third column of triangle A067990.`
	FORMULA	`a(n)= sum(L(k+1)L(n+3-k), k=0..n) = (7n+4)F(n+1)+4(n+1)F(n), with F(n) := A000045(n) (Fibonacci).` `G.f.: (4+3x)(1+2x)/(1-x-x^2)^2.`
	CROSSREFS	`Adjacent sequences: A067978 A067979 A067980 this_sequence A067982 A067983 A067984` `Sequence in context: A031291 A134538 A024013 this_sequence A138617 A122684 A122681`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002`

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.

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