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1, 1, 2, 3, 4, 6, 3, 12, 15, 20, 30, 15, 60, 60, 84, 105, 140, 210, 105, 420, 420, 420, 315, 840, 840, 1260, 1260, 1540, 2310, 2520, 4620, 4620, 5460, 5460, 9240, 9240, 13860, 13860, 16380, 16380, 27720, 30030, 32760, 60060, 60060, 60060, 45045, 120120
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OFFSET
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0,3
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COMMENTS
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1/a(n) is probability that a random degree-n permutation has the maximum possible order.
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LINKS
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MATHEMATICA
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g[n_] := g[n] = Max[LCM @@@ IntegerPartitions[n]];
f[x_, n_] := Total[(MoebiusMu[g[n]/#]*Exp[Total[(x^#/#&) /@ Divisors[#]]]&) /@ Divisors[g[n]]];
a[0] = 1; a[n_] := 1/SeriesCoefficient[f[x, n], {x, 0, n}];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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