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 A336197 #7 Jul 17 2020 22:24:16 %S A336197 1,1,33,8263,8718945,28076306251,224968772934303,3896175006605313013, %T A336197 131557135159637950535265,8004845815916146011992853811, %U A336197 824857614282973828473497207276283,136888961901974254918775560412316183913,35099479542762449254288789631427310686677535 %N A336197 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n,k)^5 * a(k). %H A336197 Seiichi Manyama, <a href="/A336197/b336197.txt">Table of n, a(n) for n = 0..120</a> %F A336197 a(n) = (n!)^5 * [x^n] 1 / (1 - Sum_{k>=1} x^k / (k!)^5). %t A336197 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, k]^5 a[k], {k, 0, n - 1}]; Table[a[n], {n, 0, 12}] %t A336197 nmax = 12; CoefficientList[Series[1/(1 - Sum[x^k/(k!)^5, {k, 1, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!^5 %Y A336197 Column k=5 of A326322. %Y A336197 Cf. A000670, A102221, A336195, A336196. %K A336197 nonn %O A336197 0,3 %A A336197 _Ilya Gutkovskiy_, Jul 11 2020