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A058808 Product{k=1 to n}[S(n,k)], where S(n,k) is a Stirling number of the second kind. (S(n,k) = number of ways of partitioning a set of n elements into k nonempty subsets.) 2
1, 1, 3, 42, 3750, 2720250, 19512927000, 1631977354072800, 1833446251541145780000, 31323109023670061678062500000, 9087660958278168844264470405352500000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..11.

EXAMPLE

a(4) = S(4,1)*S(4,2)*S(4,3)*S(4,4) = 1*7*6*1 = 42.

MAPLE

a:=n->mul(stirling2(n, k), k=1..n): seq(a(n), n=1..12); # Zerinvary Lajos, Jun 28 2007

PROG

(PARI) a(n) = prod(k=1, n, stirling(n, k, 2)); \\ Michel Marcus, Dec 12 2015

CROSSREFS

Sequence in context: A145984 A213956 A157552 * A155210 A157572 A137192

Adjacent sequences:  A058805 A058806 A058807 * A058809 A058810 A058811

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, Jan 02 2001

STATUS

approved

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Last modified February 28 01:50 EST 2020. Contains 332319 sequences. (Running on oeis4.)