A105543 Column 0 of triangle A105542, which equals the matrix square of triangle A105540.

1, 2, 4, 6, 13, 26, 33, 75, 101, 172, 356, 633, 700, 1125, 3844, 3494, 6203, 11890, 21364, 30581, 42967, 94001, 94755, 305936, 220915, 372660, 1087653, 1511734, 2078209, 2677011, 2513857, 6746218, 21036190, 13404655, 37137205, 22572935