A004993 - OEIS

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A004993

(6^n/n!)*product[ k=0..n-1 ](6*k + 1).

1, 6, 126, 3276, 93366, 2800980, 86830380, 2753763480, 88808872230, 2901089826180, 95735964263940, 3185396629145640, 106710787076378940, 3595332672265690440, 121727691903852662040, 4138741524730990509360 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`A. Straub, V. H. Moll, T. Amdeberhan, The p-adic valuation of k-central binomial coefficients, Acta Arith. 140 (1) (2009) 31-41, eq (1.10)`
	FORMULA	`G.f.: A(x) = (1 - 36x)^(-1/6).` `a(n) ~ Gamma(1/6)^-1n^(-5/6)6^(2n){1 - 5/72n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001`
	CROSSREFS	`Sequence in context: A193223 A132507 A109820 * A133792 A081623 A177756` `Adjacent sequences: A004990 A004991 A004992 * A004994 A004995 A004996`
	KEYWORD	`nonn`
	AUTHOR	`Joe Keane (jgk(AT)jgk.org)`
	EXTENSIONS	`Corrected by Franklin T. Adams-Watters, Oct 25 2006`

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.