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A083384 a(n) = n*Sum(((k-1)/2)*k!*Stirling_2(n,k),k=1..n). 2
0, 2, 27, 316, 3825, 49866, 706923, 10899512, 182218005, 3289724710, 63865092159, 1327750936788, 29447495757225, 694257067232834, 17343019158929235, 457695211932767344, 12726295039220109885, 371902424983010438238, 11396594412860395106151, 365458808048854606362380 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

Equals A083385(n) - n*A000670(n).

E.g.f.: x*(exp(x)-1)*exp(x)/(2-exp(x))^3. - Vladeta Jovovic, Sep 14 2003

a(n) ~ n! * n^2 / (8 * (log(2))^(n+2)). - Vaclav Kotesovec, Feb 18 2017

CROSSREFS

Cf. A000670, A083385, A083411, A083410.

Sequence in context: A220530 A199021 A091709 * A121971 A278790 A277832

Adjacent sequences:  A083381 A083382 A083383 * A083385 A083386 A083387

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jun 07 2003

STATUS

approved

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Last modified December 11 05:41 EST 2017. Contains 295868 sequences.