2

Part of 2009 IberoAmerican

Problems(1)

Ibero American 2009 Problem 2

Source:

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.

inequalitiesfunctionalgebra proposedalgebra