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Search: id:A133119
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| A133119 |
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Number of permutations of [n] with 3 cycle lengths. |
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+0
1
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| 120, 1050, 12712, 141876, 1418400, 17061660, 212254548, 2735287698, 37354035628, 581350330470, 8895742806480
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OFFSET
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6,1
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FORMULA
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We obtain e.g.f. for number of permutations of [n] with m cycle lengths if we substitute x(i) with -Sum_{k>0} ((1-exp(x^k/k))^i in cycle index Z(S(m); x(1),x(2),..,x(m)) of symmetric group S(m) of degree m.
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CROSSREFS
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Cf. A005225, A005772, A038041, A088142.
Sequence in context: A029573 A011245 A092182 this_sequence A052777 A052765 A167549
Adjacent sequences: A133116 A133117 A133118 this_sequence A133120 A133121 A133122
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KEYWORD
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easy,more,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 18 2007
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