cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A074103 a(n) = n!/A074859(n).

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%I A074103 #16 May 24 2019 17:16:00
%S A074103 1,1,2,3,4,6,3,12,15,20,30,15,60,60,84,105,140,210,105,420,420,420,
%T A074103 315,840,840,1260,1260,1540,2310,2520,4620,4620,5460,5460,9240,9240,
%U A074103 13860,13860,16380,16380,27720,30030,32760,60060,60060,60060,45045,120120
%N A074103 a(n) = n!/A074859(n).
%C A074103 1/a(n) is probability that a random degree-n permutation has the maximum possible order.
%H A074103 Alois P. Heinz, <a href="/A074103/b074103.txt">Table of n, a(n) for n = 0..175</a>
%t A074103 g[n_] := g[n] = Max[LCM @@@ IntegerPartitions[n]];
%t A074103 f[x_, n_] := Total[(MoebiusMu[g[n]/#]*Exp[Total[(x^#/#&) /@ Divisors[#]]]&) /@ Divisors[g[n]]];
%t A074103 a[0] = 1; a[n_] := 1/SeriesCoefficient[f[x, n], {x, 0, n}];
%t A074103 Table[a[n], {n, 0, 50}] (* _Jean-François Alcover_, May 24 2019 *)
%Y A074103 Cf. A074859, A000793.
%K A074103 nonn
%O A074103 0,3
%A A074103 _Vladeta Jovovic_, Sep 15 2002
%E A074103 More terms from _Max Alekseyev_, Jun 13 2011