A096273 a(0)=0, then a(n)=a(n-1)+(n-1) if n is odd, a(n)=a(n/2)+n/2 otherwise.

0, 0, 1, 3, 3, 7, 6, 12, 7, 15, 12, 22, 12, 24, 19, 33, 15, 31, 24, 42, 22, 42, 33, 55, 24, 48, 37, 63, 33, 61, 48, 78, 31, 63, 48, 82, 42, 78, 61, 99, 42, 82, 63, 105, 55, 99, 78, 124, 48, 96, 73, 123, 63, 115, 90, 144, 61, 117, 90, 148, 78, 138, 109, 171, 63, 127, 96, 162, 82