Odd Part
The odd part 
of a positive integer 
is defined by
 |
where 
is the exponent of the exact power of 2 dividing
. 
is therefore
the product of odd factors of 
. The values for 
, 2, ..., are
1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 11, ... (OEIS A000265).
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odd part