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 A352071 #8 Mar 03 2022 04:34:32
%S A352071 1,1,6,62,904,16984,390128,10586736,331267200,11738697600,
%T A352071 464539452672,20302660659456,971106358760448,50452643588275200,
%U A352071 2829000818124208128,170271405502300207104,10948525752699316371456,748994717201835804033024,54315931193865932254543872
%N A352071 Expansion of e.g.f. 1 / (1 + log(1 - 4*x) / 4).
%F A352071 a(n) = Sum_{k=0..n} Stirling1(n,k) * k! * (-4)^(n-k).
%F A352071 a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k) * (k-1)! * 4^(k-1) * a(n-k).
%F A352071 a(n) ~ n! * 4^(n+1) * exp(4*n) / (exp(4) - 1)^(n+1). - _Vaclav Kotesovec_, Mar 03 2022
%t A352071 nmax = 18; CoefficientList[Series[1/(1 + Log[1 - 4 x]/4), {x, 0, nmax}], x] Range[0, nmax]!
%t A352071 Table[Sum[StirlingS1[n, k] k! (-4)^(n - k), {k, 0, n}], {n, 0, 18}]
%o A352071 (PARI) my(x='x+O('x^25)); Vec(serlaplace(1/(1+log(1-4*x)/4))) \\ _Michel Marcus_, Mar 02 2022
%Y A352071 Cf. A007840, A047053, A210246, A227917, A326324, A352069.
%K A352071 nonn
%O A352071 0,3
%A A352071 _Ilya Gutkovskiy_, Mar 02 2022