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A214402 Cancellation factor in reducing Sum_{k=0...n} n^k/k! to lowest terms. 6
1, 2, 6, 8, 10, 144, 70, 128, 162, 6400, 22, 6220800, 26, 100352, 182250, 425984, 170, 429981696, 38, 163840000, 13502538, 317194240, 46, 247669456896, 31250, 1417674752, 15943230, 80564191232, 9802, 25076532510720000000, 62, 10737418240, 38196790434, 1241245548544 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Michel Marcus, Table of n, a(n) for n = 1..300

Eric Weisstein, Exponential Sum Function.

FORMULA

a(n) = n!/A214401(n).

MATHEMATICA

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

PROG

(PARI) a(n) = n!/denominator(sum(k=0, n, n^k/k!)); \\ Michel Marcus, Apr 20 2021

CROSSREFS

Cf. A063170, A090878, A093101, A120266, A214401.

Sequence in context: A247984 A108417 A185078 * A166064 A144675 A088417

Adjacent sequences:  A214399 A214400 A214401 * A214403 A214404 A214405

KEYWORD

nonn

AUTHOR

Jonathan Sondow, Jul 15 2012

EXTENSIONS

More terms from Michel Marcus, Apr 20 2021

STATUS

approved

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Last modified July 30 15:29 EDT 2021. Contains 346359 sequences. (Running on oeis4.)