id:A082290 - OEIS Search Results

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Expansion of (1+x+x^2)/((1+x^2)(1+x)^4(1-x)^5).

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1, 2, 6, 9, 19, 26, 46, 59, 94, 116, 172, 206, 290, 340, 460, 530, 695, 790, 1010, 1135, 1421, 1582, 1946, 2149, 2604, 2856, 3416, 3724, 4404, 4776, 5592, 6036, 7005, 7530, 8670, 9285, 10615, 11330, 12870, 13695, 15466, 16412, 18436, 19514, 21814, 23036 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Index entries for two-way infinite sequences`
	FORMULA	`G.f.: (1+x+x^2)/((1+x^2)(1+x)^4(1-x)^5). a(n)=3a(n-2)-2a(n-4)-2a(n-6)+3a(n-8)-a(n-10)+3. a(-9-n)=a(n).` `Euler transform of length 4 sequence [2,3,-1,1]. - Michael Somos Feb 15 2006`
	PROGRAM	`(PARI) a(n)=if(n<-8, a(-9-n), polcoeff((1+x+x^2)/((1+x^2)(1+x)^4(1-x)^5)+x*O(x^n), n))`
	CROSSREFS	`Cf. A070893(n)=a(2n-2). A082289(n)=a(2n-7).` `Sequence in context: A028724 A156190 A076738 this_sequence A093840 A129233 A106529` `Adjacent sequences: A082287 A082288 A082289 this_sequence A082291 A082292 A082293`
	KEYWORD	`nonn,easy`
	AUTHOR	`Michael Somos, Apr 07 2003`

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

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