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A214401 Denominator of sum_{k=0..n} n^k/k!. 2
1, 1, 1, 3, 12, 5, 72, 315, 2240, 567, 1814400, 77, 239500800, 868725, 7175168, 49116375, 2092278988800, 14889875, 3201186852864000, 14849255421, 3783802880000, 3543572316375, 562000363888803840000, 2505147019375, 496358721386591551488 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..25.

Eric Weisstein, Exponential Sum Function.

FORMULA

a(n) = n!/A214402(n).

MATHEMATICA

Denominator[Table[Sum[n^k/k!, {k, 0, n}], {n, 1, 30}]]

CROSSREFS

Numerators are A120266. Cf. also A063170, A090878, A093101, A214402.

Sequence in context: A227106 A085296 A306364 * A009781 A266913 A307027

Adjacent sequences:  A214398 A214399 A214400 * A214402 A214403 A214404

KEYWORD

frac,nonn

AUTHOR

Jonathan Sondow, Jul 15 2012

STATUS

approved

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Last modified June 26 04:11 EDT 2019. Contains 324369 sequences. (Running on oeis4.)