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Expansion of e.g.f. exp(-x) / (4 - 3*exp(2*x)).
2

%I #10 Dec 25 2023 10:01:58

%S 1,5,73,1517,42193,1466645,61177753,2977205117,165583073953,

%T 10360379100965,720265883283433,55081115403503117,4595165623000889713,

%U 415299796681103596085,40420990463421954662713,4215173033091627126703517,468870152072269125977393473

%N Expansion of e.g.f. exp(-x) / (4 - 3*exp(2*x)).

%F a(n) = (-1)^n + 3 * Sum_{k=1..n} 2^k * binomial(n,k) * a(n-k).

%o (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+3*sum(j=1, i, 2^j*binomial(i, j)*v[i-j+1])); v;

%Y Cf. A367977, A368442, A368454.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Dec 24 2023