A099494 - OEIS

This site is supported by donations to The OEIS Foundation.

A099494

A Chebyshev transform of Fib(n)+(-1)^n.

1, 0, 1, 1, -1, 0, 0, -2, 0, 1, -1, 1, 2, -1, 0, 1, -2, -1, 1, -1, 0, 2, 0, 0, 1, -1, -1, 0, -1, 0, 1, 0, 1, 1, -1, 0, 0, -2, 0, 1, -1, 1, 2, -1, 0, 1, -2, -1, 1, -1, 0, 2, 0, 0, 1, -1, -1, 0, -1, 0, 1, 0, 1, 1, -1, 0, 0, -2, 0, 1, -1, 1, 2, -1, 0, 1, -2, -1, 1, -1, 0, 2, 0, 0, 1, -1, -1 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,8`
	COMMENTS	`A Chebyshev transform of A008346, which has g.f. 1/(1-2x^2-x^3). The image of G(x) under the Chebyshev transform is (1/(1+x^2))G(x/(1+x^2)).`
	FORMULA	`G.f.: (1+x^2)^2/(1+x^2-x^3+x^4+x^6); a(n)=-a(n-2)+a(n-3)-a(n-4)-a(n-6); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k(F(n-2k)+(-1)^(n-2k)}; a(n)=A014019(n-1)+A000484(n).`
	CROSSREFS	`Sequence in context: A029425 A025902 A053692 * A030341 A121444 A118230` `Adjacent sequences: A099491 A099492 A099493 * A099495 A099496 A099497`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 19 2004`

Content is available under The OEIS End-User License Agreement .

Last modified February 14 20:38 EST 2012. Contains 205663 sequences.