A004997 - OEIS

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A004997

6^n/n!*product[ k=0..n-1 ](6*k + 7).

1, 42, 1638, 62244, 2334150, 86830380, 3212724060, 118411829640, 4351634739270, 159559940439900, 5839893820100340, 213421574152757880, 7789887456575662620, 284031281108989544760, 10346853811827476273400 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`A(x) = (1 - 36x)^(-7/6).` `a(n) ~ 6Gamma(1/6)^-1n^(1/6)6^(2n){1 + 7/72*n^-1 - ...}. - Joe Keane (jgk(AT)jgk.org), Nov 24 2001`
	CROSSREFS	`Sequence in context: A067638 A155021 A000502 * A120815 A162879 A163225` `Adjacent sequences: A004994 A004995 A004996 * A004998 A004999 A005000`
	KEYWORD	`nonn`
	AUTHOR	`Joe Keane (jgk(AT)jgk.org)`

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Last modified February 13 14:15 EST 2012. Contains 205503 sequences.