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A245765 a(n) = (n+1)! * int(Gamma(n+x)/Gamma(x), x = 0..1). 1
1, 1, 5, 54, 1004, 28500, 1145220, 61822320, 4314308544, 377894704320, 40585486536000, 5244015013776000, 802446580009071360, 143506045946368385280, 29655761650514250451200, 7012678074108426720000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The factor (n+1)! normalizes the sequence to integers.

E.g.f. for a(n)/(n+1)!: x/((x-1)*log(1-x)).

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

MATHEMATICA

a[n_] := (n+1)! Integrate[Pochhammer[x, n], {x, 0, 1}]; Table[a[n], {n, 0, 20}]

Table[(n+1)! * Sum[(-1)^(n-k) * StirlingS1[n, k] / (k+1), {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Aug 03 2014 *)

CROSSREFS

Cf. A000142.

Sequence in context: A132619 A251583 A223896 * A085719 A129420 A247711

Adjacent sequences:  A245762 A245763 A245764 * A245766 A245767 A245768

KEYWORD

nonn,easy

AUTHOR

Vladimir Reshetnikov, Jul 31 2014

STATUS

approved

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Last modified January 23 01:15 EST 2020. Contains 331166 sequences. (Running on oeis4.)