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Question Number 25723 by Joel578 last updated on 13/Dec/17

Given a_{1}, a_{2}, \dots, a_{n} are non - negative

integers and satisfy

\frac{1}{2^{a_{1}}} + \frac{1}{2^{a_{2}}} + \dots + \frac{1}{2^{a_{n}}} = \frac{1}{3^{a_{1}}} + \frac{2}{3^{a_{2}}} + \dots + \frac{n}{3^{a_{n}}} = 1

If n is positive integer, find all possible solution

of n