A029589 Expansion of (1+sin(x)+sin(x)^2)/(1-sin(x)+sin(x)^2).

1, 2, 4, -2, -64, -238, 1024, 18478, 64256, -1078558, -16672256, -22614242, 2401458176, 32373060722, -117093134336, -9756500186162, -106877784162304, 1553450981649602, 64518260702838784, 465844716994278718