cp's OEIS Frontend

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.

A367723 E.g.f. satisfies A(x) = exp(x*A(-x^4)).

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%I A367723 #8 Nov 28 2023 08:39:44
%S A367723 1,1,1,1,1,-119,-719,-2519,-6719,166321,3598561,29882161,159572161,
%T A367723 -389343239,-55939643759,-974399385959,-9282412863359,-46891283580959,
%U A367723 1814094098389441,67045782535457761,1076141148146824321,61735522719009663721,1058382395842664859121
%N A367723 E.g.f. satisfies A(x) = exp(x*A(-x^4)).
%F A367723 a(0) = 1; a(n) = (n-1)! * Sum_{k=0..floor((n-1)/4)} (-1)^k * (4*k+1) * a(k) * a(n-1-4*k) / (k! * (n-1-4*k)!).
%o A367723 (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)\4, (-1)^j*(4*j+1)*v[j+1]*v[i-4*j]/(j!*(i-1-4*j)!))); v;
%Y A367723 Cf. A141369, A367721, A367722.
%Y A367723 Cf. A367720.
%K A367723 sign
%O A367723 0,6
%A A367723 _Seiichi Manyama_, Nov 28 2023