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.

A355204 E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(log(1+x)).

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%I A355204 #15 Jun 25 2022 07:11:40
%S A355204 1,2,2,-4,0,68,-588,2728,17688,-766960,14239512,-164672640,-494840680,
%T A355204 109461302008,-4446935274696,122761839873664,-1889647100968176,
%U A355204 -50347073461051088,6582857386505201520,-397095020380174033424,17279075935957171412288
%N A355204 E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(log(1+x)).
%H A355204 Seiichi Manyama, <a href="/A355204/b355204.txt">Table of n, a(n) for n = 1..328</a>
%F A355204 a(1) = 1; a(n+1) = 2 * Sum_{k=1..n} Stirling1(n,k) * a(k).
%o A355204 (PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=2*sum(j=1, i, stirling(i, j, 1)*v[j])); v;
%Y A355204 Cf. A307874, A355096.
%K A355204 sign
%O A355204 1,2
%A A355204 _Seiichi Manyama_, Jun 24 2022