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    Proof of Fraction Position in Countable Set of Positive Rational Numbers

    the pattern is as follows: M N 1 1 1 2 2 1 1 3 2 2 3 1 1 4 2 3 3 2 4 1 Use that formula and you'll see that it calculates the 0 based index correctly for the above. Then with induction: let P(m,n) be the position P(m,n) = big equation. Now, we have to prove that P(m+1,n-1)...
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