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 A346791 #4 Aug 04 2021 16:41:56
%S A346791 1,-1,0,3,-5,-17,103,57,-2707,6785,84135,-659369,-2129683,55537445,
%T A346791 -103722105,-4630217025,37357780827,334163569535,-7214177094045,
%U A346791 -2126819153101,1233139349668817,-8794491537166765,-184459444459530193,3483053621920936363,15570880115951580635
%N A346791 E.g.f.: 1 / (1 + x + Sum_{k>=2} prime(k-1) * x^k / k!).
%F A346791 a(0) = 1; a(n) = -Sum_{k=1..n} binomial(n,k) * A008578(k) * a(n-k).
%t A346791 nmax = 24; CoefficientList[Series[1/(1 + x + Sum[Prime[k - 1] x^k/k!, {k, 2, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!
%Y A346791 Cf. A000040, A008578, A030018, A300632, A300662, A302194, A346430.
%K A346791 sign
%O A346791 0,4
%A A346791 _Ilya Gutkovskiy_, Aug 04 2021