id:A038665 - OEIS Search Results

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Convolution of A007054 (super ballot numbers) with A000984 (central binomial coefficients).

+0
5

3, 8, 25, 84, 294, 1056, 3861, 14300, 53482, 201552, 764218, 2912168, 11143500, 42791040, 164812365, 636438060, 2463251010, 9552774000, 37112526990, 144410649240, 562724141460, 2195581527360, 8576490341250, 33537507830424 (list; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(n) = (n+3)C(n+1), C(n): Catalan numbers A000108, G.f.: c(x)(4-c(x))/sqrt(1-4*x), c(x): G.f. for Catalan numbers.`
	CROSSREFS	`Cf. A007054, A000984, A000108, A000777.` `Sequence in context: A050383 A060404 A101490 this_sequence A006372 A045900 A000738` `Adjacent sequences: A038662 A038663 A038664 this_sequence A038666 A038667 A038668`
	KEYWORD	`easy,nonn`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research