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A Chebyshev transform of the Padovan numbers.

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1, 0, -1, 1, -1, -3, 3, 3, -6, 2, 10, -13, -9, 29, -9, -43, 55, 32, -126, 48, 183, -243, -121, 541, -241, -765, 1082, 450, -2326, 1171, 3179, -4803, -1617, 9993, -5601, -13168, 21250, 5552, -42849, 26489, 54351, -93763, -17765, 183347, -124086, -223422, 412698, 49827, -782881, 576541, 914279 (list; graph; listen)

	OFFSET	`0,6`
	COMMENT	`A Chebyshev transform of the Padovan numbers A000931(n+3): if A(x) is the g.f. of a sequence, map it to ((1-x^2)/(1+x^2))A(x/(1+x^2)).`
	FORMULA	`G.f.: (1-x^2)(1+x^2)^2/(1+2x^2-x^3+2x^4+x^6); a(n)=-2a(n-2)+a(n-3)-2a(n-4)-a(n-6); a(n)=a(n)=nsum{k=0..floor(n/2), (-1)^kbinomial(n-k, k)A000931(n-2k+3)/(n-k)}.`
	CROSSREFS	`Cf. A099443, A011655, A100047, A100048.` `Sequence in context: A122519 A141695 A100026 this_sequence A158315 A134059 A112669` `Adjacent sequences: A100046 A100047 A100048 this_sequence A100050 A100051 A100052`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 31 2004`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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