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.

A289958 Number of permutations of [n] having exactly ten nontrivial cycles.

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%I A289958 #12 Jul 17 2017 02:53:58
%S A289958 654729075,105411381075,9729928783575,682187321190375,
%T A289958 40619713503218850,2178070341434237250,108946451099337101250,
%U A289958 5201416870471272701250,240786076823686096077375,10929696310323023478019775,490470855046984824670532875,21893162839119896036432594875
%N A289958 Number of permutations of [n] having exactly ten nontrivial cycles.
%C A289958 A nontrivial cycle has size > 1.
%H A289958 Alois P. Heinz, <a href="/A289958/b289958.txt">Table of n, a(n) for n = 20..450</a>
%H A289958 Wikipedia, <a href="https://en.wikipedia.org/wiki/Permutation">Permutation</a>
%F A289958 E.g.f.: (log(1-x)+x)^10/10!*exp(x).
%t A289958 Drop[CoefficientList[Series[(Log[1 - x] + x)^10/10!*Exp[x] , {x, 0, 50}], x] * Table[k!, {k, 0, 50}] , 20] (* _Indranil Ghosh_, Jul 16 2017 *)
%o A289958 (PARI) x = 'x + O('x^30); Vec(serlaplace((-log(1-x)-x)^10/10!*exp(x))) \\ _Michel Marcus_, Jul 16 2017
%Y A289958 Column k=10 of A136394.
%K A289958 nonn
%O A289958 20,1
%A A289958 _Alois P. Heinz_, Jul 16 2017