id:A090412 - OEIS Search Results

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A Chebyshev transform of 2^n.

+0
2

1, 2, 3, 4, 6, 10, 15, 20, 30, 52, 78, 96, 144, 282, 423, 420, 630, 1660, 2490, 1304, 1956, 11332, 16998, -3896, -5844, 95240, 142860, -157160, -235740, 983610, 1475415, -2634300, -3951450, 11751660, 17627490, -38381160, -57571740, 152461740, 228692610 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`G.f.: c(-x^2)/(1-2xc(-x^2)), c(x) g.f. of Catalan numbers A000108; a(n)=sum{k=0..n, (k+1)C(n, n/2-k/2)(-1)^(n/2-k/2)(1+(-1)^(n+k))2^k/(n+k+2)}.`
	CROSSREFS	`Cf. A086990.` `Sequence in context: A094861 A097699 A086990 this_sequence A073028 A104977 A018062` `Adjacent sequences: A090409 A090410 A090411 this_sequence A090413 A090414 A090415`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Dec 05 2003`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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