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 A336427 #18 Jul 22 2020 10:28:26
%S A336427 0,1,5,100,5357,597726,120049592,39381634818,19686000625517,
%T A336427 14233714132535146,14293760060523962630,19298235276251711246358,
%U A336427 34108177389621376109912120,77181320123960021972892515094,219430688163572488543090308547898
%N A336427 a(0) = 0; a(n) = 1 + (1/n) * Sum_{k=1..n-1} binomial(n,k)^3 * k * a(k).
%F A336427 Sum_{n>=0} a(n) * x^n / (n!)^3 = -log(1 - Sum_{n>=1} x^n / (n!)^3).
%t A336427 a[0] = 0; a[n_] := a[n] = 1 + (1/n) Sum[Binomial[n, k]^3 k a[k], {k, 1, n - 1}]; Table[a[n], {n, 0, 14}]
%t A336427 nmax = 14; CoefficientList[Series[-Log[1 - Sum[x^k/(k!)^3, {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]!^3
%Y A336427 Cf. A000629, A102223, A193420.
%K A336427 nonn
%O A336427 0,3
%A A336427 _Ilya Gutkovskiy_, Jul 21 2020