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.

A293251 G.f.: Product_{i>0} 1/(Sum_{j>=0} j!*x^(j*i)).

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%I A293251 #23 Oct 04 2017 18:39:02
%S A293251 1,-1,-2,-3,-13,-65,-447,-3351,-28544,-269270,-2795872,-31689198,
%T A293251 -389581679,-5165672203,-73512910689,-1117937393138,-18096787251877,
%U A293251 -310743077434399,-5642249024063207,-108023468997424550,-2175086628366359447,-45952007357795606912
%N A293251 G.f.: Product_{i>0} 1/(Sum_{j>=0} j!*x^(j*i)).
%H A293251 Seiichi Manyama, <a href="/A293251/b293251.txt">Table of n, a(n) for n = 0..449</a>
%F A293251 Convolution inverse of A161779.
%F A293251 a(n) ~ -n! * (1 - 2/n - 2/n^2 - 5/n^3 - 29/n^4 - 232/n^5 - 2231/n^6 - 24745/n^7 - 308917/n^8 - 4279945/n^9 - 65179552/n^10), for coefficients see A293264. - _Vaclav Kotesovec_, Oct 04 2017
%t A293251 nmax = 30; CoefficientList[Series[Product[1/Sum[j!*x^(j*k), {j, 0, nmax}], {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Oct 04 2017 *)
%Y A293251 Cf. A161779, A293259.
%K A293251 sign
%O A293251 0,3
%A A293251 _Seiichi Manyama_, Oct 04 2017