id:A099524 - OEIS Search Results

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Expansion of 1/(1-5x-x^3).

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1, 5, 25, 126, 635, 3200, 16126, 81265, 409525, 2063751, 10400020, 52409625, 264111876, 1330959400, 6707206625, 33800145001, 170331684405, 858365628650, 4325628288251, 21798473125660, 109850731256950, 553579284573001 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A transform of A000351 under the mapping mapping g(x)->(1/(1-x^3))g(x/(1-x^3)).`
	FORMULA	`a(n)=5a(n-1)+a(n-3); a(n)=sum{k=0..floor(n/3), binomial(n-2k, k)5^(n-3k)}.`
	CROSSREFS	`Cf. A099504.` `Sequence in context: A030988 A080516 A033141 this_sequence A081916 A082308 A026718` `Adjacent sequences: A099521 A099522 A099523 this_sequence A099525 A099526 A099527`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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