45

Part of 1992 IMO Longlists

Problems(1)

Number of ways to express n as sum of distinct numbers

Source:

n

be a positive integer. Prove that the number of ways to express

n

as a sum of distinct positive integers (up to order) and the number of ways to express

n

as a sum of odd positive integers (up to order) are the same.

functionnumber theoryAdditive Number TheoryAdditive combinatoricscountingIMO ShortlistIMO Longlist