A104598 Expansion of (1-z-sqrt(1-4z))/(1-4z)^2.

1, 10, 68, 394, 2092, 10516, 50920, 239962, 1107836, 5033020, 22572376, 100168260, 440604088, 1923626344, 8344694224, 35998921978, 154546983580, 660652406572, 2813422792696, 11940478362796, 50522190460072