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 A341185 #18 Feb 07 2021 00:41:40
%S A341185 1,1,12,315,15088,1141625,124989156,18659050795,3638892086208,
%T A341185 897534389449809,272981684150035300,100316132701760094251,
%U A341185 43802068733570039425776,22409162143775383385763913,13274030650412266312507931652
%N A341185 a(n) = Sum_{k=0..n} k^n * k! * binomial(n,k)^2.
%t A341185 a[0] = 1; a[n_] := Sum[k^n * k! * Binomial[n, k]^2, {k, 0, n}]; Array[a, 15, 0] (* _Amiram Eldar_, Feb 06 2021 *)
%o A341185 (PARI) a(n) = sum(k=0, n, k^n*k!*binomial(n, k)^2);
%Y A341185 Cf. A002720, A332408, A336828, A341197.
%K A341185 nonn
%O A341185 0,3
%A A341185 _Seiichi Manyama_, Feb 06 2021