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Search: id:A133118
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| A133118 |
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Number of partitions of n-set with 3 block sizes. |
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+0
1
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| 60, 315, 2268, 14742, 72180, 464640, 2676366, 16400098, 94209206, 673282610, 4095231104, 29371828846, 197547348216, 1513916607683, 10904464442572, 87070803499372, 673555061736062
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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 partitions of n-set with m block sizes 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(n)) of symmetric group S(m) of degree m.
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CROSSREFS
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Cf. A038041, A088142, A122404, A005225, A005772.
Sequence in context: A063497 A096363 A033591 this_sequence A092478 A024184 A119631
Adjacent sequences: A133115 A133116 A133117 this_sequence A133119 A133120 A133121
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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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