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.

A306628 Expansion of e.g.f. log(Sum_{k>=0} (k*x)^k).

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%I A306628 #16 May 18 2019 17:30:09
%S A306628 1,7,140,5394,336024,30663840,3846629520,634415055120,133073632016640,
%T A306628 34596321663980160,10919217470376902400,4113179201266142515200,
%U A306628 1822997615295693513600000,939158618068666181592806400,556530141861219809204393472000
%N A306628 Expansion of e.g.f. log(Sum_{k>=0} (k*x)^k).
%H A306628 Seiichi Manyama, <a href="/A306628/b306628.txt">Table of n, a(n) for n = 1..232</a>
%F A306628 a(n) ~ n! * n^n. - _Vaclav Kotesovec_, Mar 02 2019
%t A306628 nmax = 20; Rest[CoefficientList[Series[Log[1 + Sum[(k*x)^k, {k, 1, nmax}]], {x, 0, nmax}], x] * Range[0, nmax]!] (* _Vaclav Kotesovec_, Mar 02 2019 *)
%o A306628 (PARI) N=20; x='x+O('x^N); Vec(serlaplace(log(sum(k=0, N, (k*x)^k))))
%Y A306628 Cf. A000142, A000312, A122949.
%K A306628 nonn
%O A306628 1,2
%A A306628 _Seiichi Manyama_, Mar 01 2019