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 A361143 #13 Mar 14 2023 03:41:54 %S A361143 1,1,11,241,8105,370061,21403675,1500521485,123685912817, %T A361143 11724012791929,1256517775425131,150254377493878505, %U A361143 19833528195709809817,2864566162751107839493,449364739762263286489403,76084967168410028438252101,13829896583435315152843525985 %N A361143 E.g.f. satisfies A(x) = exp( x*A(x)^4/(1 - x*A(x)^2) ). %H A361143 Winston de Greef, <a href="/A361143/b361143.txt">Table of n, a(n) for n = 0..315</a> %F A361143 a(n) = n! * Sum_{k=0..n} (2*n+2*k+1)^(k-1) * binomial(n-1,n-k)/k!. %o A361143 (PARI) a(n) = n!*sum(k=0, n, (2*n+2*k+1)^(k-1)*binomial(n-1, n-k)/k!); %Y A361143 Cf. A000262, A361142. %Y A361143 Cf. A212722, A361065, A361093. %K A361143 nonn %O A361143 0,3 %A A361143 _Seiichi Manyama_, Mar 02 2023