id:A082289 - OEIS Search Results

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

+0
4

2, 9, 26, 59, 116, 206, 340, 530, 790, 1135, 1582, 2149, 2856, 3724, 4776, 6036, 7530, 9285, 11330, 13695, 16412, 19514, 23036, 27014, 31486, 36491, 42070, 48265, 55120, 62680, 70992, 80104, 90066, 100929, 112746, 125571, 139460, 154470 (list; graph; listen)

	OFFSET	`4,1`
	LINKS	`Index entries for two-way infinite sequences`
	FORMULA	`G.f.: x^4(2+x)/((1+x)(1-x)^5).` `a(n)=3a(n-1)-2a(n-2)-2a(n-3)+3a(n-4)-a(n-5)+3. If sequence is also defined for n <= 3 by this equation, then a(n)=0 for 0 <= n <= 3 and a(n)=A070893(-n) for n<0.`
	PROGRAM	`(PARI) a(n)=polcoeff(if(n>0, x^4(2+x)/((1+x)(1-x)^5), x(1+2x)/((1+x)(1-x)^5))+xO(x^abs(n)), abs(n))`
	CROSSREFS	`a(n)=A082290(2n-7). Cf. A070893.` `Sequence in context: A101051 A085070 A083383 this_sequence A014150 A136429 A091469` `Adjacent sequences: A082286 A082287 A082288 this_sequence A082290 A082291 A082292`
	KEYWORD	`nonn,easy`
	AUTHOR	`Michael Somos, Apr 07 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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