A368289 Expansion of e.g.f. exp(-2*x) / (1 - log(1 + x)).
1, -1, 1, 0, -4, 22, -98, 508, -2952, 21040, -169360, 1579168, -16208784, 185045936, -2290934384, 30842081632, -445643595776, 6905128910976, -113892295743104, 1995421707848192, -36964967819409152, 722345322667829760, -14842592110869541888
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).