id:A060929 - OEIS Search Results

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Second convolution of Lucas numbers A000032(n+1), n >= 0.

+0
7

1, 9, 39, 120, 315, 753, 1687, 3612, 7470, 15040, 29634, 57366, 109421, 206115, 384105, 709152, 1298613, 2360943, 4264835, 7659870, 13686456, 24340184, 43102644, 76031100, 133636825, 234116493, 408900987 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: ((1+2x)/(1-x-x^2))^3.` `a(n)=A060922(n+2, 2) (third column of Lucas triangle).` `a(n)=(n+1)((5n+4)L(n+2) + (5n-2)L(n+1))/10, n >= 1, with the Lucas numbers L(n)=A000032(n)=A000204(n), n >= 1.`
	CROSSREFS	`A004799(n+1)= A060922(n+1, 1).` `Sequence in context: A054121 A139594 A034263 this_sequence A124851 A124041 A126396` `Adjacent sequences: A060926 A060927 A060928 this_sequence A060930 A060931 A060932`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 2001`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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