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 A345081 #5 Jun 07 2021 14:55:47
%S A345081 1,8,80,856,9824,119912,1547376,21007992,298874496,4440618120,
%T A345081 68706037904,1104224971416,18394192882336,316974497161384,
%U A345081 5640790811468976,103503851543959224,1955546066369814208,37994858794236710088,758272809049577019600,15527828509092566876888
%N A345081 a(0) = 1; a(n) = 8 * Sum_{k=1..n} binomial(n,k) * a(k-1).
%F A345081 G.f. A(x) satisfies: A(x) = 1 + 8 * x * A(x/(1 - x)) / (1 - x)^2.
%t A345081 a[0] = 1; a[n_] := a[n] = 8 Sum[Binomial[n, k] a[k - 1], {k, 1, n}]; Table[a[n], {n, 0, 19}]
%t A345081 nmax = 19; A[_] = 0; Do[A[x_] = 1 + 8 x A[x/(1 - x)]/(1 - x)^2 + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%Y A345081 Cf. A040027, A221159, A238465, A343523, A343975, A344735, A344840, A345077, A345078.
%K A345081 nonn
%O A345081 0,2
%A A345081 _Ilya Gutkovskiy_, Jun 07 2021