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 A368451 #8 Dec 25 2023 10:01:00 %S A368451 1,0,3,16,149,1688,23159,371880,6840553,141780944,3268764075, %T A368451 82963535136,2298431319293,69012013452328,2232249540339103, %U A368451 77380297793229304,2861727518793423057,112465175425532789792,4680372635423718547027,205618540216497929458608 %N A368451 Expansion of e.g.f. exp(-x) / (1 + log(1 - 2*x)/2). %F A368451 a(n) = (-1)^n + Sum_{k=1..n} 2^(k-1) * (k-1)! * binomial(n,k) * a(n-k). %o A368451 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+sum(j=1, i, 2^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A368451 Cf. A330149, A368452. %K A368451 nonn %O A368451 0,3 %A A368451 _Seiichi Manyama_, Dec 24 2023