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 A380094 #8 Jan 12 2025 07:54:33
%S A380094 1,1,0,7,-28,405,-4514,75313,-1336824,28494793,-672782950,17874984501,
%T A380094 -521966931716,16702822898749,-579928752836874,21736834275178345,
%U A380094 -874384126286848624,37581186999500130321,-1718628399364227445070,83327485224351815544925
%N A380094 E.g.f. A(x) satisfies A(x) = ( 1 + 3*x*exp(x*A(x)) )^(1/3).
%F A380094 a(n) = n! * Sum_{k=0..n} 3^k * k^(n-k) * binomial(n/3-k/3+1/3,k)/( (n-k+1)*(n-k)! ).
%o A380094 (PARI) a(n) = n!*sum(k=0, n, 3^k*k^(n-k)*binomial(n/3-k/3+1/3, k)/((n-k+1)*(n-k)!));
%Y A380094 Cf. A161631, A380093.
%Y A380094 Cf. A380051.
%K A380094 sign
%O A380094 0,4
%A A380094 _Seiichi Manyama_, Jan 12 2025