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 A371231 #10 Mar 16 2024 11:56:14 %S A371231 1,0,2,3,152,930,42804,574140,27267456,613793376,31378237200, %T A371231 1021391030880,57256014687552,2456525677525920,152135168050833408, %U A371231 8093376365276966400,554533365688970342400,35081649646969248529920,2653840371674014197608448 %N A371231 E.g.f. satisfies A(x) = 1 - x*A(x)^3*log(1 - x*A(x)^3). %F A371231 a(n) = n! * (3*n)! * Sum_{k=0..floor(n/2)} |Stirling1(n-k,k)|/( (n-k)! * (3*n-k+1)! ). %o A371231 (PARI) a(n) = n!*(3*n)!*sum(k=0, n\2, abs(stirling(n-k, k, 1))/((n-k)!*(3*n-k+1)!)); %Y A371231 Cf. A371121, A371229. %K A371231 nonn %O A371231 0,3 %A A371231 _Seiichi Manyama_, Mar 15 2024