A102880 - OEIS

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A102880

A Chebyshev transform of the first kind of the Catalan numbers.

1, 1, 0, 2, 8, 22, 64, 198, 624, 1994, 6464, 21210, 70296, 234990, 791424, 2682894, 9147360, 31347730, 107919232, 373055730, 1294372008, 4506163718, 15735793088, 55105084246, 193471595344, 680891484762, 2401575077568, 8487950090954 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`Image of c(x) under the mapping g(x)->((1-x^2)/(1+x^2))g(x/(1+x^2)).`
	FORMULA	`G.f.: ((1-x^2)/(1+x^2))c(x/(1+x^2)), c(x) the g.f. of the Catalan numbers A000108; a(n)=nsum{k=0..floor(n/2), C(n-k, k)(-1)^kC(n-2k)/(n-k)}.`
	CROSSREFS	`Cf. A101499, A102879.` `Sequence in context: A145654 A074352 A017928 * A137104 A178159 A137103` `Adjacent sequences: A102877 A102878 A102879 * A102881 A102882 A102883`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 15 2005`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.