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 A337678 #7 Sep 15 2020 21:28:40
%S A337678 1,-1,31,-7322,7281664,-22105862624,166969429228448,
%T A337678 -2726003940127256256,86768429205346333655040,
%U A337678 -4977000682976771751013908480,483455102073887625685155978412032,-75632981854199587114694850276377296896,18281294958403743105166278735321854559387648
%N A337678 a(0) = 1; a(n) = -(n!)^5 * Sum_{k=0..n-1} a(k) / (k! * (n-k))^5.
%F A337678 Sum_{n>=0} a(n) * x^n / (n!)^5 = 1 / (1 + polylog(5,x)).
%t A337678 a[0] = 1; a[n_] := a[n] = -(n!)^5 Sum[a[k]/(k! (n - k))^5, {k, 0, n - 1}]; Table[a[n], {n, 0, 12}]
%t A337678 nmax = 12; CoefficientList[Series[1/(1 + PolyLog[5, x]), {x, 0, nmax}], x] Range[0, nmax]!^5
%o A337678 (PARI) a(n)={n!^5*polcoef(1/(1 + polylog(5,x + O(x*x^n))), n)} \\ _Andrew Howroyd_, Sep 15 2020
%Y A337678 Cf. A006252, A074706, A212858, A336261, A337676, A337677.
%K A337678 sign
%O A337678 0,3
%A A337678 _Ilya Gutkovskiy_, Sep 15 2020