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A271766
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Number of set partitions of [n] with minimal block length multiplicity equal to six.
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2
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1, 0, 0, 0, 0, 0, 10395, 0, 0, 0, 0, 0, 383563180, 523783260, 6547290750, 3055402350, 157964301495, 14054850810, 34828180582195, 91670862398500, 448593283888750, 11612610774464700, 7681370284312725, 6594450798260325, 179804372693675480751, 11896760875264765500
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OFFSET
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6,7
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 6..577
Wikipedia, Partition of a set
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FORMULA
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a(n) = A271424(n,6).
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MAPLE
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with(combinat):
b:= proc(n, i, k) option remember; `if`(n=0, 1,
`if`(i<1, 0, add(multinomial(n, n-i*j, i$j)
*b(n-i*j, i-1, k)/j!, j={0, $k..n/i})))
end:
a:= n-> b(n$2, 6)-b(n$2, 7):
seq(a(n), n=6..30);
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CROSSREFS
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Column k=6 of A271424.
Sequence in context: A180460 A035912 A226599 * A104439 A290035 A289954
Adjacent sequences: A271763 A271764 A271765 * A271767 A271768 A271769
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Apr 13 2016
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STATUS
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approved
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