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 A382015 #11 Mar 12 2025 09:38:56
%S A382015 1,1,3,31,589,16121,574621,25206595,1312188249,79030103185,
%T A382015 5404390242841,413597889825011,35018686148243029,3249772250267517001,
%U A382015 327996955065621786309,35769289851588288786211,4191277822883571632163121,525144087149768803822788257,70060367710090279786176259633
%N A382015 E.g.f. A(x) satisfies A(x) = exp(x*B(x*A(x))), where B(x) = 1 + x*B(x)^3 is the g.f. of A001764.
%F A382015 a(n) = n! * Sum_{k=0..n-1} (k+1)^(n-k-1) * binomial(n+2*k,k)/((n+2*k) * (n-k-1)!) for n > 0.
%o A382015 (PARI) a(n) = if(n==0, 1, n!*sum(k=0, n-1, (k+1)^(n-k-1)*binomial(n+2*k, k)/((n+2*k)*(n-k-1)!)));
%Y A382015 Cf. A161629, A161630, A382016.
%Y A382015 Cf. A001764, A251569.
%K A382015 nonn
%O A382015 0,3
%A A382015 _Seiichi Manyama_, Mar 12 2025