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 A379932 #9 Jan 07 2025 06:55:58
%S A379932 1,0,2,10,88,978,13468,221338,4233584,92458018,2271283684,62012911530,
%T A379932 1863436238728,61124896911154,2173660174175228,83304031307483962,
%U A379932 3423089366607304672,150143469737701318722,7001969736087834197716,345972733119776006045386
%N A379932 E.g.f. A(x) satisfies A(x) = ( exp(-x) + x*A(x) )^2.
%F A379932 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A379879.
%F A379932 a(n) = -2 * n! * Sum_{k=0..n} (-k-2)^(n-k-1) * binomial(2*k+1,k)/(n-k)!.
%o A379932 (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(4*exp(-2*x)/(1+sqrt(1-4*x*exp(-x)))^2))
%o A379932 (PARI) a(n) = -2*n!*sum(k=0, n, (-k-2)^(n-k-1)*binomial(2*k+1, k)/(n-k)!);
%Y A379932 Cf. A379866, A379937.
%Y A379932 Cf. A130102, A379879.
%K A379932 nonn
%O A379932 0,3
%A A379932 _Seiichi Manyama_, Jan 06 2025