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.

A355105 E.g.f. A(x) satisfies A(x) = 1 + 3 * x * A(log(1+x)).

This page as a plain text file.
%I A355105 #8 Jun 19 2022 08:40:58
%S A355105 1,3,18,135,1044,6210,-5994,-760347,-3009960,261689616,1960394400,
%T A355105 -220644396522,-1043258760828,366570209524896,-3109452797977470,
%U A355105 -972076070389224105,36160406771040130320,3274635904971823559880,-331428842765036684941320
%N A355105 E.g.f. A(x) satisfies A(x) = 1 + 3 * x * A(log(1+x)).
%F A355105 a(0) = 1; a(n) = 3 * n * Sum_{k=0..n-1} Stirling1(n-1,k) * a(k).
%F A355105 a(n) = 3 * n * A355097(n-1) for n>0.
%o A355105 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*i*sum(j=0, i-1, stirling(i-1, j, 1)*v[j+1])); v;
%Y A355105 Cf. A354729, A355104.
%Y A355105 Cf. A355097.
%K A355105 sign
%O A355105 0,2
%A A355105 _Seiichi Manyama_, Jun 19 2022