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A058808
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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 non-empty subsets.)
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1
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1, 1, 3, 42, 3750, 2720250, 19512927000, 1631977354072800, 1833446251541145780000, 31323109023670061678062500000, 9087660958278168844264470405352500000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| a(4) = S(4,1) *S(4,2) *S(4,3) *S(4,4) = 1 *7 *6 *1 = 42.
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MAPLE
| a:=n->mul(stirling2(n, k), k=1..n): seq(a(n), n=1..12); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 28 2007
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CROSSREFS
| Sequence in context: A083402 A145984 A157552 * A155210 A157572 A137192
Adjacent sequences: A058805 A058806 A058807 * A058809 A058810 A058811
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet Jan 02 2001
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