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 A379909 #7 Jan 06 2025 04:21:26
%S A379909 1,0,1,-4,41,-456,6817,-120044,2497105,-59445136,1599030881,
%T A379909 -47923901268,1584315183673,-57269439049304,2247345360390145,
%U A379909 -95147690776024636,4323183446836151201,-209835113176652954400,10835768876261196612673,-593183387438256595660964
%N A379909 E.g.f. A(x) satisfies A(x) = exp(-x*A(x)^2) + x*A(x).
%F A379909 a(n) = -n! * Sum_{k=0..n} (-2*n+2*k-1)^(n-k-1) * binomial(2*n-k,k)/(n-k)!.
%o A379909 (PARI) a(n) = -n!*sum(k=0, n, (-2*n+2*k-1)^(n-k-1)*binomial(2*n-k, k)/(n-k)!);
%Y A379909 Cf. A379856, A379868, A379877.
%K A379909 sign
%O A379909 0,4
%A A379909 _Seiichi Manyama_, Jan 05 2025