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 A372182 #7 Apr 21 2024 11:40:49 %S A372182 1,1,13,334,13329,724316,49939411,4177202562,411049275265, %T A372182 46530896718520,5957142774561531,851104158600401366, %U A372182 134246582420467536289,23171656877102178017028,4344395473350526080895843,879206880413471231912831626,191028062860784640128743389441 %N A372182 E.g.f. A(x) satisfies A(x) = exp( x * A(x)^5 * (1 + x * A(x)^2) ). %F A372182 If e.g.f. satisfies A(x) = exp( r*x*A(x)^(t/r) * (1 + x*A(x)^(u/r))^s ), then a(n) = r * n! * Sum_{k=0..n} (t*k+u*(n-k)+r)^(k-1) * binomial(s*k,n-k)/k!. %o A372182 (PARI) a(n, r=1, s=1, t=5, u=2) = r*n!*sum(k=0, n, (t*k+u*(n-k)+r)^(k-1)*binomial(s*k, n-k)/k!); %Y A372182 Cf. A143768, A363355, A363358. %Y A372182 Cf. A372164. %K A372182 nonn %O A372182 0,3 %A A372182 _Seiichi Manyama_, Apr 21 2024