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A Chebyshev transform of Jacobsthal numbers.

+0
5

1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`A Chebyshev transform of A001045(n+1): if A(x) is the g.f. of a sequence, map it to ((1-x^2)/(1+x^2))A(x/(1+x^2)).` `Multiplicative with a(3^e) = 2, a(p^e) = 1 otherwise. David W. Wilson (davidwwilson(AT)comcast.net) Jun 11, 2005.`
	FORMULA	`G.f.: (1+x)(1+x^2)/(1-x^3); a(n)=nsum{k=0..floor(n/2), binomial(n-k, k)(-1)^kA001045(n-2k+1)/(n-k).`
	CROSSREFS	`Cf. A100051, A061347, A057079.` `Sequence in context: A099837 A100051 A122876 this_sequence A132419 A131556 A107751` `Adjacent sequences: A100060 A100061 A100062 this_sequence A100064 A100065 A100066`
	KEYWORD	`easy,nonn,mult`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 02 2004`

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

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