A011780 Expansion of 1/(1-2*x)^3/(1-x^2)^2.

1, 6, 26, 92, 291, 850, 2348, 6216, 15925, 39742, 97086, 233012, 550983, 1286442, 2970960, 6796320, 15417945, 34719510, 77672290, 172743180, 382147691, 841346306, 1844250996, 4026531832, 8758949501, 18989322990