A sequence not found in the OEIS: part 3

Sequence name: A000009A035457 (n>=1).

1, 0, 2, 1, 3, 2, 5, 4, 8, 7, 12, 11, 18, 17, 27, 26, 38, 38,
54, 54, 76, 77, 104, 107, 142, 147, 192, 200, 256, 269, 340,
358, 448, 474, 585, 622, 760, 810, 982, 1049, 1260, 1350, 1610,
1727, 2048, 2200, 2590, 2788, 3264, 3516, 4097, 4417, 5120, 5526

Examples: a(1) = 1, because 1 – 0 = 1. a(2) = 0, because 1 – 1 = 0. a(3) = 2, because 2 – 0 = 2. a(4) = 1, because 2 – 1 = 1. a(5) = 3, because 3 – 0 = 3. a(6) = 2, because 4 – 2 = 2….

PS

I welcome more terms.

PPS

Inspired by this posting.

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