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 A367160 #9 Nov 07 2023 08:23:57 %S A367160 1,1,9,161,4412,164024,7721898,440550102,29548655696,2278884869640, %T A367160 198709176600696,19331290511231280,2075887738522499664, %U A367160 243905626745780976144,31125204862136659763040,4287017279890868817295728,633888142969750426274770944 %N A367160 E.g.f. satisfies A(x) = 1 - A(x)^3 * log(1 - x*A(x)). %F A367160 a(n) = Sum_{k=0..n} (n+3*k)!/(n+2*k+1)! * |Stirling1(n,k)|. %o A367160 (PARI) a(n) = sum(k=0, n, (n+3*k)!/(n+2*k+1)!*abs(stirling(n, k, 1))); %Y A367160 Cf. A052802, A138013, A367159. %K A367160 nonn %O A367160 0,3 %A A367160 _Seiichi Manyama_, Nov 07 2023