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1989 OIM Problems/Problem 5

Revision as of 12:23, 13 December 2023 by Tomasdiaz (talk | contribs)

Problem

Let function $f$ defined over set {1; 2; 3; ... }

(i) $f(1)=1$

(ii) $f(2n+1)=f(2n)+1$

(iii) $f(2n)=3f(n)$

Find the set of values of $f$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe4.htm

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