olymmath

Putnam 2016 A2

  • Session A

Given a positive integer nn, let M(n)M(n) be the largest integer mm such that (mn−1)>(m−1n).\binom{m}{n-1} > \binom{m-1}{n}. Evaluate lim⁡n→∞M(n)n.\lim_{n \to \infty} \frac{M(n)}{n}.

Curated text Kedlaya Putnam archive. Quoted with source.

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