A151861 a(0)=0; a(1)=1; a(2)=0; for n>=3 if n=2^i + j with 0<=j<2^i then a(n)=2*a(j) + a(j + 1) except we add 1 if j=2^i-1.

0, 1, 1, 4, 1, 3, 6, 10, 1, 3, 6, 9, 5, 12, 22, 22, 1, 3, 6, 9, 5, 12, 22, 21, 5, 12, 21, 23, 22, 46, 66, 46, 1, 3, 6, 9, 5, 12, 22, 21, 5, 12, 21, 23, 22, 46, 66, 45, 5, 12, 21, 23, 22, 46, 65, 47, 22, 45, 65, 68, 90, 158, 178, 94, 1, 3, 6, 9, 5, 12, 22, 21, 5, 12, 21, 23, 22, 46, 66, 45, 5