perplexus.info :: Just Math : Interesting Function

Interesting Function (Posted on 2004-08-28)

Given: f is a function with domain and range of the positive integers, and f satisfies these two conditions:

(1) f(n+1) > f(n); that is, f is strictly increasing, and

(2) f(n+f(m)) = f(n)+m+1

Find all possible values of f(2004)

See The Solution Submitted by SilverKnight

Rating: 4.3333 (6 votes)

Comments: ( You must be logged in to post comments.)

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info