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A192555 a(n) = sum(stirling2(n+1,k+1)*(-1)^(n-k)*k!^2,k=0..n). 0
1, 0, 2, 18, 302, 7770, 285182, 14169498, 916379102, 74833699770, 7532323742462, 916288114073178, 132533661862902302, 22482642651307262970, 4420834602574484743742, 997471931914411955132058, 255978001773528747607767902 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = (-1)^n * Sum_{k = 0..n} A163626(n,k)*k!. - Philippe Deléham, May 25 2015

a(n) ~ exp(-1/2) * n!^2. - Vaclav Kotesovec, Jul 05 2021

MATHEMATICA

Table[Sum[StirlingS2[n+1, k+1](-1)^(n-k)k!^2, {k, 0, n}], {n, 0, 100}]

PROG

(Maxima) makelist(sum(stirling2(n+1, k+1)*(-1)^(n-k)*k!^2, k, 0, n), n, 0, 24);

CROSSREFS

Cf. A000142, A163626

Sequence in context: A224384 A092563 A258922 * A350366 A179497 A296837

Adjacent sequences:  A192552 A192553 A192554 * A192556 A192557 A192558

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Jul 04 2011

STATUS

approved

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Last modified May 26 00:47 EDT 2022. Contains 354073 sequences. (Running on oeis4.)