A049127 Revert transform of (-1 + 2x + x^2)/(-1 + x + 2x^2 + x^3).

1, 1, 2, 6, 22, 88, 369, 1597, 7078, 31966, 146592, 680826, 3195883, 15138737, 72274885, 347411257, 1679958814, 8166820486, 39889343392, 195658510368, 963381098208, 4759922215444, 23592260956562, 117270856692388