A368016 - OEIS

%I #8 Dec 08 2023 09:57:04

%S 1,-1,-2,1,23,78,-101,-2837,-16388,-6045,814731,8464784,33033549,

%T -310826557,-7037215394,-63006436867,-89668812445,6772991607814,

%U 122867563251423,1051303604754527,-1882817550826828,-228497075285662201,-4133128828646120841,-36299819546242627536

%N Expansion of e.g.f. exp(exp(x) - exp(2*x)).

%F a(0) = 1; a(n) = Sum_{k=1..n} (1 - 2^k) * binomial(n-1,k-1) * a(n-k).

%o (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;

%Y Cf. A368017.

%K sign

%O 0,3

%A _Seiichi Manyama_, Dec 08 2023