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 A355086 #9 Jun 18 2022 14:13:52 %S A355086 1,1,5,68,2318,191364,37322176,16851654336,17323677619888, %T A355086 39991811695203552,204958165376127918144,2309776412016044230960128, %U A355086 56778926016923229432156258048,3023733345610004146919028796718592 %N A355086 E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(2*x). %F A355086 a(0) = 1; a(n) = Sum_{k=1..n} 2^(n-k) * (k-1)! * binomial(n,k) * a(n-k). %o A355086 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, 2^(i-j)*(j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A355086 Cf. A007840, A355087. %Y A355086 Cf. A352860. %K A355086 sign %O A355086 0,3 %A A355086 _Seiichi Manyama_, Jun 18 2022