This is a chalenge question. It has been approved by Mr.Fantastic
Let , where n is a natural number. Find the natural numbers a for which Q(a)>Q(a+1) Moderator edit: Approved Challenge question.
Last edited by mr fantastic; Jun 21st 2010 at 02:42 PM.
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Let and consider the sets and . It is clear that . Therefore .
So the only candidates are of the form for some . We know that and . So we compare
Therefore the complete solution set is .
Last edited by undefined; Jun 21st 2010 at 03:43 PM.
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