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 A353162 #19 Apr 28 2022 09:50:40
%S A353162 1,0,4,18,48,1320,4200,115920,994560,11793600,264055680,2601244800,
%T A353162 67761429120,1067726499840,21513457405440,485310649824000,
%U A353162 9925206939648000,254012624170905600,6174538264806912000,160933619800835481600,4458470291543671603200
%N A353162 Expansion of e.g.f. exp(Sum_{p prime} p * x^p).
%F A353162 a(0) = 1; a(n) = (n-1)! * Sum_{p<=n, p prime} p^2 * a(n-p)/(n-p)!.
%o A353162 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, isprime(k)*k*x^k))))
%o A353162 (PARI) a(n) = if(n==0, 1, (n-1)!*sum(k=1, n, isprime(k)*k^2*a(n-k)/(n-k)!));
%Y A353162 Cf. A000040, A082579, A218002, A351940, A353163, A353164.
%K A353162 nonn
%O A353162 0,3
%A A353162 _Seiichi Manyama_, Apr 28 2022