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.

A355230 E.g.f. A(x) satisfies A'(x) = 1 - log(1-x) * A(2*x).

This page as a plain text file.
%I A355230 #17 Jun 25 2022 10:00:38
%S A355230 0,1,0,4,6,144,860,30656,497168,33543808,1300171872,178516634624,
%T A355230 15640422963968,4483114311886336,862178272953520640,
%U A355230 520264199498699214848,215806526739662643193856,274505260166616222726586368
%N A355230 E.g.f. A(x) satisfies A'(x) = 1 - log(1-x) * A(2*x).
%F A355230 a(0) = 0, a(1) = 1; a(n+1) = Sum_{k=1..n-1} 2^(n-k) * (k-1)! * binomial(n,k) * a(n-k).
%o A355230 (PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i-1, 2^(i-j)*(j-1)!*binomial(i, j)*v[i-j])); concat(0, v);
%Y A355230 Cf. A355086, A355229, A355231.
%K A355230 nonn
%O A355230 0,4
%A A355230 _Seiichi Manyama_, Jun 25 2022