A049144 Revert transform of (1 + x - 2x^2 + x^3)/(1 + 2x).

1, 1, 2, 4, 10, 24, 64, 167, 460, 1256, 3532, 9910, 28280, 80756, 232984, 673371, 1958982, 5710900, 16722156, 49061276, 144387320, 425674212, 1257774336, 3721938064, 11032243612, 32740524236, 97287632048, 289369653892