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 A352859 #7 Apr 07 2022 04:37:02
%S A352859 1,1,4,25,280,5665,211516,14907673,2021820016,535262714881,
%T A352859 279317901141172,289064917007756761,595455410823115765768,
%U A352859 2446703815513439818406305,20077597428602000393057306476,329252263598282049972950683567705,10794203801863458962317873561872563680
%N A352859 a(0) = 1; a(n) = Sum_{k=0..n-1} binomial(n,k+1) * 2^k * a(k).
%F A352859 G.f. A(x) satisfies: A(x) = 1 + x * A(2*x/(1 - x)) / (1 - x)^2.
%F A352859 a(n) ~ c * 2^(n*(n-1)/2), where c = 8.12511731924148105991770742530352144084320407825344... - _Vaclav Kotesovec_, Apr 07 2022
%t A352859 a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, k + 1] 2^k a[k], {k, 0, n - 1}]; Table[a[n], {n, 0, 16}]
%t A352859 nmax = 16; A[_] = 0; Do[A[x_] = 1 + x A[2 x/(1 - x)]/(1 - x)^2 + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%Y A352859 Cf. A040027, A126443, A351756, A352860.
%K A352859 nonn
%O A352859 0,3
%A A352859 _Ilya Gutkovskiy_, Apr 06 2022