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Problem of the Week 955

An Increasing Integer Function

Let f map positive integers to positive integers with the conditions:

i) f(n+1) > f(n)

ii) f(f(n)) = 3n

Find f[955].

Source: EMISSARY, the MSRI Newsletter, Fall 2001.
© Copyright 2002 Stan Wagon. Reproduced with permission.

7 March 2002