id:A102880 - OEIS Search Results

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

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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; listen)

	OFFSET	`0,4`
	COMMENT	`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 this_sequence A137104 A137103 A089586` `Adjacent sequences: A102877 A102878 A102879 this_sequence A102881 A102882 A102883`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 15 2005`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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