A368015 - OEIS

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

%S 1,-1,-3,5,81,29,-4623,-20035,415041,4838909,-46093743,-1309934275,

%T 3230184801,419574363389,2065056788337,-154120122603715,

%U -2307971235744639,59954627542249469,1959892188447337617,-19474957767402204355,-1658215397958862557279

%N Expansion of e.g.f. 1/(1 - exp(2*x) + exp(3*x)).

%F a(0) = 1; a(n) = Sum_{k=1..n} (2^k - 3^k) * binomial(n,k) * 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, j)*v[i-j+1])); v;

%Y Cf. A355409.

%K sign

%O 0,3

%A _Seiichi Manyama_, Dec 08 2023