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 A368762 #14 Jan 05 2024 07:53:54
%S A368762 1,2,7,27,118,605,3651,25585,204716,1842489,18424945,202674461,
%T A368762 2432093610,31617217021,442641038399,6639615576105,106233849217816,
%U A368762 1805975436703025,32507557860654621,617643599352437989,12352871987048759990,259410311728023960021
%N A368762 a(n) = n! * (1 + Sum_{k=0..n} binomial(k+1,2) / k!).
%F A368762 a(0) = 1; a(n) = n*a(n-1) + binomial(n+1,2).
%F A368762 a(n) = n! + A103519(n).
%F A368762 E.g.f.: (1 + x * (1+x/2) * exp(x)) / (1-x).
%o A368762 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((1+x*sum(k=0, 1, binomial(1, k)*x^k/(k+1)!)*exp(x))/(1-x)))
%Y A368762 Cf. A033540, A368763, A368764.
%Y A368762 Cf. A103519, A368766.
%K A368762 nonn
%O A368762 0,2
%A A368762 _Seiichi Manyama_, Jan 04 2024