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 A364942 #8 Aug 14 2023 08:28:05 %S A364942 1,1,11,193,5037,176221,7755433,411995529,25665442841,1835264297881, %T A364942 148192928581581,13338664928207389,1324344628799752981, %U A364942 143792046846092303829,16949599953405295395521,2155710634160924802161041,294250014166281073851809457 %N A364942 E.g.f. satisfies A(x) = exp( x*A(x)^2 / (1 - x*A(x))^3 ). %F A364942 a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(n+2*k-1,n-k)/k!. %o A364942 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(n+2*k-1, n-k)/k!); %Y A364942 Cf. A361142, A364941. %K A364942 nonn %O A364942 0,3 %A A364942 _Seiichi Manyama_, Aug 14 2023