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 A285381 #12 Apr 16 2021 15:46:55
%S A285381 1,1,1,3,5,11,33,67,169,435,1265,3035,8025,22243,60721,191307,491657,
%T A285381 1404371,4089633,12183835,36872377,126189219,350136977,1062359147,
%U A285381 3386475177,10757830387,36121721857,120817807419,482847966617,1391650703939,4654331013489
%N A285381 G.f.: 1/(1 - 1!*x/(1 - 2!*x^2/(1 - 3!*x^3/(1 - 4!*x^4/(1 - 5!*x^5/(1 - 6!*x^6/(1 - ...))))))), a continued fraction.
%H A285381 Seiichi Manyama, <a href="/A285381/b285381.txt">Table of n, a(n) for n = 0..100</a>
%e A285381 G.f.: A(x) = 1 + x + x^2 + 3*x^3 + 5*x^4 + 11*x^5 + 33*x^6 + 67*x^7 + 169*x^8 + ...
%t A285381 nmax = 30; CoefficientList[Series[1/(1 + ContinuedFractionK[-k! x^k, 1, {k, 1, nmax}]), {x, 0, nmax}], x]
%o A285381 (PARI) a(n) = my(A=1+O(x)); for(i=1, n, A=1-(n-i+1)!*x^(n-i+1)/A); polcoef(1/A, n); \\ _Seiichi Manyama_, Apr 16 2021
%Y A285381 Cf. A000142, A088357, A285380.
%K A285381 nonn
%O A285381 0,4
%A A285381 _Ilya Gutkovskiy_, Apr 17 2017