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 A361531 #9 Mar 15 2023 12:40:47
%S A361531 1,-1,0,2,-3,-2,21,-44,-62,631,-1367,-3170,34849,-86855,-302964,
%T A361531 3058342,-8509971,-36488802,430842051,-1111575888,-6244999438,
%U A361531 78663444549,-250850311489,-1724880111306,18475299723737,-65061274823853,-444914618968648,6831921081061986
%N A361531 Expansion of e.g.f. exp(1 - exp(x) + x^3/6).
%F A361531 a(0) = 1, a(1) = -1, a(2) = 0; a(n) = binomial(n-1,2) * a(n-3) - Sum_{k=1..n} binomial(n-1,k-1) * a(n-k).
%o A361531 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(1-exp(x)+x^3/6)))
%Y A361531 Cf. A293037, A337062.
%Y A361531 Cf. A124504, A361489.
%K A361531 sign,easy
%O A361531 0,4
%A A361531 _Seiichi Manyama_, Mar 14 2023