A368442 Expansion of e.g.f. exp(-x) / (3 - 2*exp(2*x)).

1, 3, 33, 483, 9537, 235203, 6960993, 240350883, 9484451457, 421047638403, 20768624968353, 1126878096701283, 66701360437693377, 4277150701010241603, 295365044324205535713, 21853794944452689691683, 1724738884402183269207297, 144626802398076537956524803

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

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

Crossrefs

Cf. A367977, A368443, A368454.

Sequence in context: A321265 A011922 A365028 * A264833 A071405 A234526

Adjacent sequences: A368439 A368440 A368441 * A368443 A368444 A368445

Keyword

nonn

Author

Seiichi Manyama, Dec 24 2023

Status

approved