id:A110516 - OEIS Search Results

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Expansion of (1-x+x^2+x^3)/(1+x-x^4-x^5).

+0
2

1, -2, 3, -2, 3, -4, 5, -4, 5, -6, 7, -6, 7, -8, 9, -8, 9, -10, 11, -10, 11, -12, 13, -12, 13, -14, 15, -14, 15, -16, 17, -16, 17, -18, 19, -18, 19, -20, 21, -20, 21, -22, 23, -22, 23, -24, 25, -24, 25, -26, 27, -26, 27, -28, 29, -28, 29, -30, 31, -30, 31, -32, 33, -32, 33, -34, 35, -34, 35, -36, 37, -36, 37, -38, 39, -38, 39 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Transform of (-1)^n by number triangle A110515. Partial sums are A110514.`
	FORMULA	`G.f.: (1-x+x^2+x^3)/((1+x)(1-x^4)); a(n)=-a(n-1)+a(n-4)+a(n-5); a(n)=-sin(pin/2+pi/4)/sqrt(2)+cos(pin+pi/4)/sqrt(2)+(-1)^n*(2n+3)/4+1/4.`
	CROSSREFS	`Sequence in context: A065362 A083219 A106249 this_sequence A134986 A162751 A026342` `Adjacent sequences: A110513 A110514 A110515 this_sequence A110517 A110518 A110519`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 24 2005`

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

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