id:A099504 - OEIS Search Results

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

+0
3

1, 5, 25, 124, 615, 3050, 15126, 75015, 372025, 1844999, 9149980, 45377875, 225044376, 1116071900, 5534981625, 27449863749, 136133246845, 675131252600, 3348206399251, 16604898749410, 82349362494450, 408398606072999 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A transform of A000351 under the 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)(-1)^k*5^(n-3k)}.`
	CROSSREFS	`Cf. A076264, A000071, A099503.` `Sequence in context: A078717 A086093 A171279 this_sequence A036156 A097756 A046112` `Adjacent sequences: A099501 A099502 A099503 this_sequence A099505 A099506 A099507`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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