A368016 Expansion of e.g.f. exp(exp(x) - exp(2*x)).
1, -1, -2, 1, 23, 78, -101, -2837, -16388, -6045, 814731, 8464784, 33033549, -310826557, -7037215394, -63006436867, -89668812445, 6772991607814, 122867563251423, 1051303604754527, -1882817550826828, -228497075285662201, -4133128828646120841, -36299819546242627536
Offset: 0
Keywords
Crossrefs
Cf. A368017.
Programs
-
PARI
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, (1-2^j)*binomial(i-1, j-1)*v[i-j+1])); v;
Formula
a(0) = 1; a(n) = Sum_{k=1..n} (1 - 2^k) * binomial(n-1,k-1) * a(n-k).