A321335 Expansion of 1/(1 - x) * Product_{k>=0} 1/(1 - x^(2^k))^(2^(k+1)).

1, 3, 10, 22, 57, 115, 248, 456, 906, 1598, 2956, 4980, 8802, 14422, 24440, 38856, 63881, 99515, 159106, 242654, 379609, 569971, 873696, 1290784, 1945912, 2839080, 4213712, 6069808, 8890264, 12675080, 18334048, 25867168, 37011210, 51766174, 73308548, 101638332, 142626458