n=3 even=2 odd=1 diff=1 distinct-odd=1
n=4 even=3 odd=2 diff=1 distinct-odd=1
n=5 even=4 odd=3 diff=1 distinct-odd=1
n=6 even=6 odd=5 diff=1 distinct-odd=1
n=7 even=8 odd=7 diff=1 distinct-odd=1
n=8 even=12 odd=10 diff=2 distinct-odd=2
n=9 even=16 odd=14 diff=2 distinct-odd=2
n=10 even=22 odd=20 diff=2 distinct-odd=2
n=11 even=29 odd=27 diff=2 distinct-odd=2
n=12 even=40 odd=37 diff=3 distinct-odd=3
n=24 even=793 odd=782 diff=11 distinct-odd=11
n=36 even=9005 odd=8972 diff=33 distinct-odd=33
n=48 even=73680 odd=73593 diff=87 distinct-odd=87
n=60 even=483338 odd=483129 diff=209 distinct-odd=209
identity even-odd = distinct-odd-parts and positive for 3<=n<=60: True
