id:A099494 - OEIS Search Results

Search: id:A099494

Displaying 1-1 of 1 results found.

page 1

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

+0
1

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; listen)

	OFFSET	`0,8`
	COMMENT	`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 this_sequence A030341 A121444 A118230` `Adjacent sequences: A099491 A099492 A099493 this_sequence A099495 A099496 A099497`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 19 2004`

page 1

Search completed in 0.002 seconds

Last modified November 25 13:47 EST 2009. Contains 167481 sequences.

AT&T Labs Research