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 A356962 #10 Sep 06 2022 14:05:45 %S A356962 1,0,0,3,6,10,465,3801,20608,461196,7609185,85446955,1661943756, %T A356962 38070386718,692342989429,15023805426735,404978989779120, %U A356962 10131679290423736,264474729910772433,8059571860456028835,249785940327179846500,7837578968934515202570 %N A356962 E.g.f. satisfies log(A(x)) = x^2/2 * (exp(x*A(x)) - 1) * A(x). %F A356962 a(n) = n! * Sum_{k=0..floor(n/3)} (n-k+1)^(k-1) * Stirling2(n-2*k,k)/(2^k * (n-2*k)!). %o A356962 (PARI) a(n) = n!*sum(k=0, n\3, (n-k+1)^(k-1)*stirling(n-2*k, k, 2)/(2^k*(n-2*k)!)); %Y A356962 Cf. A349557, A356785, A356963. %Y A356962 Cf. A356951, A356967. %K A356962 nonn %O A356962 0,4 %A A356962 _Seiichi Manyama_, Sep 06 2022