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 A367722 #10 Nov 28 2023 08:39:41
%S A367722 1,1,1,1,-23,-119,-359,1681,38641,269137,599761,-22461119,-347288039,
%T A367722 -8704873319,-73184815703,16491842641,26323288948321,725566429691041,
%U A367722 7867441656997921,-20568394299884543,-4768992217846599479,-108339469662214468439
%N A367722 E.g.f. satisfies A(x) = exp(x*A(-x^3)).
%C A367722 This sequence is different from A358063.
%F A367722 a(0) = 1; a(n) = (n-1)! * Sum_{k=0..floor((n-1)/3)} (-1)^k * (3*k+1) * a(k) * a(n-1-3*k) / (k! * (n-1-3*k)!).
%o A367722 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=(i-1)!*sum(j=0, (i-1)\3, (-1)^j*(3*j+1)*v[j+1]*v[i-3*j]/(j!*(i-1-3*j)!))); v;
%Y A367722 Cf. A141369, A367721, A367723.
%Y A367722 Cf. A358063.
%K A367722 sign
%O A367722 0,5
%A A367722 _Seiichi Manyama_, Nov 28 2023