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A086501
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Number of non-commuting permutations: number of ordered pairs g, h in Symm(n) such that gh <> hg, i.e., the subgroup <g,h> is non-Abelian.
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0
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0, 0, 18, 456, 13560, 510480, 25326000, 1624815360, 131671008000, 13168037030400, 1593348686899200, 229442495919436800, 38775787414703539200, 7600054444782928128000, 1710012252494048735232000
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OFFSET
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1,3
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LINKS
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FORMULA
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a(n) = n!^2 - A053529(n) = n! * ( n! - p(n) ) where p(n) is the number of partitions of n (A000041).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Sep 09 2003
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EXTENSIONS
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STATUS
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approved
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