A368288 Expansion of e.g.f. exp(2*x) / (1 - log(1+x)).
1, 3, 9, 28, 92, 326, 1262, 5412, 25720, 136208, 792432, 5105376, 35369072, 271130224, 2163931408, 19516167712, 172444938240, 1853022376064, 16940180000128, 231342744007680, 1864622339520768, 39188769208491520, 160619617213475840, 9585537940543741952, -35595308731629374464
Offset: 0
Keywords
Programs
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PARI
a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=2^i+sum(j=1, i, (-1)^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
Formula
a(n) = 2^n + Sum_{k=1..n} (-1)^(k-1) * (k-1)! * binomial(n,k) * a(n-k).