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 A371068 #9 Mar 10 2024 07:50:35 %S A371068 1,1,0,0,24,360,2160,7560,241920,8164800,145756800,1736380800, %T A371068 34488115200,1416906691200,46117316044800,1085696644032000, %U A371068 26627911620710400,1054301997805056000,46867776416068608000,1726488804870679449600,58404671366139850752000 %N A371068 E.g.f. satisfies A(x) = 1 + x*exp(x^3*A(x)^3). %F A371068 a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^k * binomial(3*k+1,n-3*k)/( (3*k+1)*k! ). %o A371068 (PARI) a(n) = n!*sum(k=0, n\3, (n-3*k)^k*binomial(3*k+1, n-3*k)/((3*k+1)*k!)); %Y A371068 Cf. A365287, A370928. %Y A371068 Cf. A161631, A371067. %K A371068 nonn %O A371068 0,5 %A A371068 _Seiichi Manyama_, Mar 09 2024