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.

A289956 Number of permutations of [n] having exactly eight nontrivial cycles.

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%I A289956 #11 Jul 17 2017 02:53:43
%S A289956 2027025,218243025,13818229425,680438103345,29079209884725,
%T A289956 1141483113695925,42556765607801445,1539279211706361125,
%U A289956 54789078082648965055,1938102614993339970175,68612592434209034386175,2443274471026078967051775,87839862102761225799417075
%N A289956 Number of permutations of [n] having exactly eight nontrivial cycles.
%C A289956 A nontrivial cycle has size > 1.
%H A289956 Alois P. Heinz, <a href="/A289956/b289956.txt">Table of n, a(n) for n = 16..450</a>
%H A289956 Wikipedia, <a href="https://en.wikipedia.org/wiki/Permutation">Permutation</a>
%F A289956 E.g.f.: (log(1-x)+x)^8/8!*exp(x).
%t A289956 Drop[CoefficientList[Series[(Log[1 - x] + x)^8/8!*Exp[x] , {x, 0, 50}], x] * Table[k !, {k, 0, 50}] , 16] (* _Indranil Ghosh_, Jul 16 2017 *)
%o A289956 (PARI) x = 'x + O('x^30); Vec(serlaplace((-log(1-x)-x)^8/8!*exp(x))) \\ _Michel Marcus_, Jul 16 2017
%Y A289956 Column k=8 of A136394.
%K A289956 nonn
%O A289956 16,1
%A A289956 _Alois P. Heinz_, Jul 16 2017