A038157 - OEIS

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A038157

n!*Sum(1/k!, k=1..n-2).

0, 0, 0, 6, 36, 200, 1230, 8652, 69272, 623520, 6235290, 68588300, 823059732, 10699776672, 149796873590, 2246953104060, 35951249665200, 611171244308672, 11001082397556402, 209020565553571980, 4180411311071439980, 87788637532500240000 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	LINKS	`Index entries for sequences related to factorial numbers`
	FORMULA	`a(n) = floor(n!*exp(1))-n-1-n! for n>1 Mark van Hoeij, Oct 30 2011.`
	MATHEMATICA	`a=1; Table[a=(a-n)*(n+1); Abs[a], {n, 0, 40}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2009]`
	CROSSREFS	`Sequence in context: A048980 A055299 A000551 * A006812 A111989 A064238` `Adjacent sequences: A038154 A038155 A038156 * A038158 A038159 A038160`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 16 16:45 EST 2012. Contains 205938 sequences.