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 A377350 #8 Oct 26 2024 10:48:45 %S A377350 1,1,1,11,108,1584,29808,674988,18091944,557844408,19468760904, %T A377350 758698622472,32653135227936,1538316755200224,78737559447563136, %U A377350 4350956519444451840,258163046132873143680,16370486288763937324416,1104824513292622360789248,79068747951669626322531840 %N A377350 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^3)/A(x)^3. %F A377350 a(n) = Sum_{k=0..floor((3*n+1)/4)} (3*n-3*k)!/(3*n-4*k+1)! * |Stirling1(n,k)|. %o A377350 (PARI) a(n) = sum(k=0, (3*n+1)\4, (3*n-3*k)!/(3*n-4*k+1)!*abs(stirling(n, k, 1))); %Y A377350 Cf. A365546, A367139, A367152, A377323, A377327. %Y A377350 Cf. A377325, A377349. %K A377350 nonn %O A377350 0,4 %A A377350 _Seiichi Manyama_, Oct 26 2024