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 A368764 #10 Jan 05 2024 07:56:43
%S A368764 1,2,9,42,203,1085,6636,46662,373626,3363129,33632005,369953056,
%T A368764 4439438037,57712696301,807977750594,12119666261970,193914660195396,
%U A368764 3296549223326577,59337886019884371,1127419834377810364,22548396687556216135,473516330438680549461
%N A368764 a(n) = n! * (1 + Sum_{k=0..n} binomial(k+3,4) / k!).
%F A368764 a(0) = 1; a(n) = n*a(n-1) + binomial(n+3,4).
%F A368764 a(n) = n! + A368575(n).
%F A368764 E.g.f.: (1 + x * (1+3*x/2+x^2/2+x^3/24) * exp(x)) / (1-x).
%o A368764 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((1+x*sum(k=0, 3, binomial(3, k)*x^k/(k+1)!)*exp(x))/(1-x)))
%Y A368764 Cf. A033540, A368762, A368763.
%Y A368764 Cf. A368575, A368768.
%K A368764 nonn
%O A368764 0,2
%A A368764 _Seiichi Manyama_, Jan 04 2024