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 A377687 #7 Nov 04 2024 09:08:44 %S A377687 1,0,2,3,80,570,12744,198660,4969152,119968128,3607836480, %T A377687 115031711520,4163170478400,162622297300320,6952158785424384, %U A377687 319741032356928000,15818989359665802240,835755271882288128000,47015148988105365288960,2804276310235518168161280 %N A377687 E.g.f. satisfies A(x) = 1 - x*log(1 - x*A(x)^3). %F A377687 a(n) = n! * Sum_{k=0..floor(n/2)} (3*n-3*k)! * |Stirling1(n-k,k)|/( (n-k)! * (3*n-4*k+1)! ). %o A377687 (PARI) a(n) = n!*sum(k=0, n\2, (3*n-3*k)!*abs(stirling(n-k, k, 1))/((n-k)!*(3*n-4*k+1)!)); %Y A377687 Cf. A371227, A377690. %K A377687 nonn %O A377687 0,3 %A A377687 _Seiichi Manyama_, Nov 04 2024