Call a fraction a "unit fraction" if it can be written as 1/n, where n is a positive integer.

How many more ways can the unit fraction 1/n be written as a sum of two (possibly equivalent) unit fractions than as a difference of two unit fractions?

(In reply to a solution by Dennis)

I think it would help if you explained how you got from the form n + n^2/(b-n) to # of sums = (F(n) + 1)/2

This is a different approach than I took, but the same solution. Anyone else solve it?

Posted by Gamer on 2006-10-15 00:59:30