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.
%I A368447 #11 Dec 25 2023 10:01:42 %S A368447 1,2,22,305,5767,136526,3883258,128933255,4893787021,208996349714, %T A368447 9917947451590,517743558041981,29485295251306867,1819129033610512958, %U A368447 120867373194394631242,8604378456170991789779,653370570548903023444249,52714379598185711313436226 %N A368447 Expansion of e.g.f. exp(-x) / (1 + log(1 - 3*x)). %F A368447 a(n) = (-1)^n + Sum_{k=1..n} 3^k * (k-1)! * binomial(n,k) * a(n-k). %o A368447 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+sum(j=1, i, 3^j*(j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A368447 Cf. A330149, A368446. %K A368447 nonn %O A368447 0,2 %A A368447 _Seiichi Manyama_, Dec 24 2023