|
%I #10 Dec 18 2023 08:26:50
%S 1,3,17,146,1668,23834,408614,8173248,186836952,4804906656,
%T 137297982672,4315550336448,147977856835440,5496919791479856,
%U 219900767818247952,9425346313165808064,430919959212816772608,20932680398362302305664
%N Expansion of e.g.f. 1/(1 - 2*x - log(1 + x)).
%F a(0) = 1; a(n) = 2*n*a(n-1) + Sum_{k=1..n} (-1)^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=2*i*v[i]+sum(j=1, i, (-1)^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y Cf. A006252, A368232.
%Y Cf. A001792.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Dec 18 2023
|
