olymmath

Putnam 1996 B2

  • Session B

Show that for every positive integer nn, (2n−1e)2n−12<1⋅3⋅5⋯(2n−1)<(2n+1e)2n+12.\left( \frac{2n-1}{e} \right)^{\frac{2n-1}{2}} < 1 \cdot 3 \cdot 5 \cdots (2n-1) < \left( \frac{2n+1}{e} \right)^{\frac{2n+1}{2}}.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava and Kiran Kedlaya

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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