0,0,3,2,25,24,203,202,_,_,2299,_,...

Given these terms, what are the missing values?

What is the formula for finding the nth term in the sequence?

The series when divided by n becomes:

0,0,1,.5,5,4,29,25.125,_,_,209,_,...

The odd values for n work well; but even values, and powers of 2 don't play very nice.