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 A308228 #8 May 16 2019 11:53:46 %S A308228 1,1,3,30,1956,1224510,9523018859,1120383171258352, %T A308228 2349614928773045360884,101143220645945325750097689653, %U A308228 101143220747088551095300901321325558554,2623394662131051405254078144558922468191548124266 %N A308228 G.f.: x * Product_{k>=1} 1/(1 - k^k*x^k)^(a(k)/k). %F A308228 Recurrence: a(n+1) = (1/n) * Sum_{k=1..n} ( Sum_{d|k} d^k*a(d) ) * a(n-k+1). %t A308228 a[n_] := a[n] = SeriesCoefficient[x Product[1/(1 - k^k x^k)^(a[k]/k), {k, 1, n - 1}], {x, 0, n}]; Table[a[n], {n, 1, 12}] %t A308228 a[n_] := a[n] = Sum[Sum[d^k a[d], {d, Divisors[k]}] a[n - k], {k, 1, n - 1}]/(n - 1); a[1] = 1; Table[a[n], {n, 1, 12}] %Y A308228 Cf. A000081, A023881, A308204, A308231. %K A308228 nonn %O A308228 1,3 %A A308228 _Ilya Gutkovskiy_, May 16 2019