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 A343623 #6 Aug 04 2021 16:41:44
%S A343623 1,3,11,59,416,3683,39093,484220,6854176,109150227,1931303809,
%T A343623 37589753206,798135918850,18358887315769,454779141016707,
%U A343623 12070296596154136,341715021307029876,10278722402921420619,327369178071821161755,11005696560250745851048,389469699942038630639524
%N A343623 E.g.f.: -log(1 - x - Sum_{k>=2} prime(k-1) * x^k / k!).
%F A343623 a(n) = A008578(n) + (1/n) * Sum_{k=1..n-1} binomial(n,k) * A008578(n-k) * k * a(k).
%t A343623 nmax = 21; CoefficientList[Series[-Log[1 - x - Sum[Prime[k - 1] x^k/k!, {k, 2, nmax}]], {x, 0, nmax}], x] Range[0, nmax]! // Rest
%Y A343623 Cf. A000040, A007446, A007447, A008578, A300632, A336185, A343622.
%K A343623 nonn
%O A343623 1,2
%A A343623 _Ilya Gutkovskiy_, Aug 04 2021