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 A293470 #7 Sep 16 2021 14:20:50
%S A293470 1,1,7,64,691,8506,117586,1811902,30977059,585159526,12157511122,
%T A293470 276365651992,6835179127294,182885413524568,5265255383238592,
%U A293470 162296482607602714,5332203008816278819,185989603728568482598,6863252473075010369626,267102762222709967674384,10932746393513621360731066
%N A293470 a(n) = [x^n] (1/(1 - x/(1 - 2*x/(1 - 3*x/(1 - 4*x/(1 - 5*x/(1 - 6*x/(1 - ...))))))))^n, a continued fraction.
%H A293470 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>
%F A293470 a(n) ~ 2^(n + 1/2) * n^(n+1) / exp(n - 1/2). - _Vaclav Kotesovec_, Sep 16 2021
%t A293470 Table[SeriesCoefficient[1/(1 + ContinuedFractionK[-k x, 1, {k, 1, n}])^n, {x, 0, n}], {n, 0, 20}]
%t A293470 Table[SeriesCoefficient[Sum[(2 k - 1)!! x^k, {k, 0, n}]^n, {x, 0, n}], {n, 0, 20}]
%Y A293470 Cf. A001147, A034430, A113551, A287899, A293471.
%K A293470 nonn
%O A293470 0,3
%A A293470 _Ilya Gutkovskiy_, Oct 09 2017