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A109792 E.g.f.: log(1+x)/(1-x)^2. 2
1, 3, 14, 70, 444, 3108, 25584, 230256, 2342880, 25771680, 312888960, 4067556480, 57424792320, 861371884800, 13869128448000, 235775183616000, 4264876094976000, 81032645804544000, 1627055289796608000, 34168161085728768000, 754132445894209536000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..400

FORMULA

a(n) = n!*Sum_{k=1..n} Sum_{i=1..k} (-1)^(i+1)/i.

a(n) ~ n!*n*log(2). - Vaclav Kotesovec, Jun 27 2013

MATHEMATICA

CoefficientList[Series[Log[1+x]/(1-x)^2, {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 27 2013 *)

PROG

(PARI) for(n=1, 25, print1(n!*sum(k=1, n, sum(i=1, k, (-1)^(i+1)/i)), ", ")) \\ G. C. Greubel, Jan 21 2017

CROSSREFS

Cf. A001705, A092692.

Sequence in context: A320421 A009020 A186765 * A137177 A158196 A191649

Adjacent sequences:  A109789 A109790 A109791 * A109793 A109794 A109795

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Aug 14 2005

STATUS

approved

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Last modified February 24 08:12 EST 2020. Contains 332201 sequences. (Running on oeis4.)