MathDB

Ibero American 2009 Problem 2

Source:

September 22, 2009

inequalitiesfunctionalgebra proposedalgebra

Problem Statement

Define the succession

a_{n}

n>0

as n\plus{}m, where

m

is the largest integer such that

2^{2^{m}}\leq n2^{n}

. Find all numbers that are not in the succession.