A117123 n minus the number of 0's in binary expansion of n.
1, 1, 3, 2, 4, 5, 7, 5, 7, 8, 10, 10, 12, 13, 15, 12, 14, 15, 17, 17, 19, 20, 22, 21, 23, 24, 26, 26, 28, 29, 31, 27, 29, 30, 32, 32, 34, 35, 37, 36, 38, 39, 41, 41, 43, 44, 46, 44, 46, 47, 49, 49, 51, 52, 54, 53, 55, 56, 58, 58, 60, 61, 63, 58, 60, 61, 63, 63, 65, 66, 68, 67, 69
Offset: 1
Programs
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Mathematica
f[n_] := n - Count[IntegerDigits[n, 2], 0]; Array[f, 73] Table[n-DigitCount[n,2,0],{n,80}] (* Harvey P. Dale, Dec 24 2015 *)