id:A060931 - OEIS Search Results

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

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1, 15, 110, 545, 2120, 7043, 20965, 57560, 148545, 365045, 862224, 1970905, 4382820, 9520315, 20265665, 42385132, 87284120, 177293730, 355738710, 705980760, 1387213926, 2701362950, 5217448800, 10001654350 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n)=A060921(n+4, 4) (fifth column of Lucas triangle).` `a(n)=(n+1)((15n^3+55n^2+50n+24)L(n+2) +2(5n^3+15n^2+10n+24)L(n+1))/5!, with the Lucas numbers L(n)=A000032(n)= A000204(n), n >= 1.` `G.f.: ((1+2*x)/(1-x-x^2))^5.`
	CROSSREFS	`A004799(n+1)= A060922(n+1, 1), A060929-30.` `Sequence in context: A041426 A074877 A055504 this_sequence A107585 A054367 A034184` `Adjacent sequences: A060928 A060929 A060930 this_sequence A060932 A060933 A060934`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 2001`

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Last modified September 6 00:03 EDT 2008. Contains 143485 sequences.

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