id:A067987 - OEIS Search Results

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Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+9), n>=0.

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76, 351, 872, 1943, 3980, 7808, 14838, 27581, 50404, 90905, 162214, 286944, 503888, 879387, 1526560, 2637787, 4539472, 7784224, 13305786, 22679065, 38555996, 65395261, 110682602, 186969408, 315274900 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Ninth diagonal of triangle A067979. Ninth column of triangle A067990.`
	FORMULA	`a(n)= sum(L(k+1)L(n+9-k), k=0..n) = (123n+76)F(n+1)+76(n+1)F(n), with F(n) := A000045(n) (Fibonacci).` `G.f.: (76+47x)(1+2x)/(1-x-x^2)^2.`
	CROSSREFS	`Sequence in context: A153676 A060316 A005571 this_sequence A167586 A129626 A007250` `Adjacent sequences: A067984 A067985 A067986 this_sequence A067988 A067989 A067990`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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