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A Chebyshev transform of the odd numbers.

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1, 3, 3, -2, -9, -9, 2, 15, 15, -2, -21, -21, 2, 27, 27, -2, -33, -33, 2, 39, 39, -2, -45, -45, 2, 51, 51, -2, -57, -57, 2, 63, 63, -2, -69, -69, 2, 75, 75, -2, -81, -81, 2, 87, 87, -2, -93, -93, 2, 99, 99, -2, -105, -105, 2, 111, 111, -2, -117, -117 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A Chebyshev transform of A005408: 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+x^2)/(1-x+x^2)^2; a(n)=2a(n-1)-3a(n-2)+2a(n-3)-a(n-4); a(n)=nsum{k=0..floor(n/2), (-1)^kbinomial(n-k, k)*(2(n-2k)+1)/(n-k)}.`
	CROSSREFS	`Sequence in context: A086636 A115055 A158468 this_sequence A128504 A058137 A164705` `Adjacent sequences: A100049 A100050 A100051 this_sequence A100053 A100054 A100055`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 31 2004`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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