%I #8 Dec 08 2023 09:57:16
%S 1,-1,-4,-5,57,548,1967,-13561,-302718,-2589819,-2709911,300801642,
%T 5531279773,48708116819,-142678610012,-13947271486097,
%U -277586590571059,-2741155101562764,15789174378252979,1332483468802350235,31222229349684528898,380895661222461566625
%N Expansion of e.g.f. exp(exp(2*x) - exp(3*x)).
%F a(0) = 1; a(n) = Sum_{k=1..n} (2^k - 3^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, (2^j-3^j)*binomial(i-1, j-1)*v[i-j+1])); v;
%Y Cf. A355381.
%K sign
%O 0,3
%A _Seiichi Manyama_, Dec 08 2023