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 A343622 #7 Aug 04 2021 16:41:34
%S A343622 1,1,-1,-1,6,-1,-79,214,1378,-11321,-14855,611932,-1739312,-34374895,
%T A343622 311453831,1548864398,-42005057494,66254532775,5287751144127,
%U A343622 -45726542532086,-568193240268798,12768316133375343,16933257518347115,-3008868695961855284,21477836260078982762
%N A343622 E.g.f.: log(1 + x + Sum_{k>=2} prime(k-1) * x^k / k!).
%F A343622 a(n) = A008578(n) - (1/n) * Sum_{k=1..n-1} binomial(n,k) * A008578(n-k) * k * a(k).
%t A343622 nmax = 25; CoefficientList[Series[Log[1 + x + Sum[Prime[k - 1] x^k/k!, {k, 2, nmax}]], {x, 0, nmax}], x] Range[0, nmax]! // Rest
%Y A343622 Cf. A000040, A007446, A007447, A008578, A300632, A336185, A343623.
%K A343622 sign
%O A343622 1,5
%A A343622 _Ilya Gutkovskiy_, Aug 04 2021