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.

A355096 E.g.f. A(x) satisfies A(x) = 1 + 2 * log(1+x) * A(log(1+x)).

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%I A355096 #8 Jun 19 2022 08:41:55
%S A355096 1,2,6,16,-12,-492,628,63488,-408112,-20183928,444216616,9449212584,
%T A355096 -679737200176,2572902869080,1276955484043864,-53294396490490656,
%U A355096 -1891642613896659904,314259171327032640928,-8590801196259162852288,-1381246455381881103425424
%N A355096 E.g.f. A(x) satisfies A(x) = 1 + 2 * log(1+x) * A(log(1+x)).
%F A355096 E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + 2*x*A(x).
%F A355096 a(0) = 1; a(n) = 2 * Sum_{k=1..n} k * Stirling1(n,k) * a(k-1).
%o A355096 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*sum(j=1, i, j*stirling(i, j, 1)*v[j])); v;
%Y A355096 Cf. A354728, A355097.
%Y A355096 Cf. A355104.
%K A355096 sign
%O A355096 0,2
%A A355096 _Seiichi Manyama_, Jun 19 2022