What is the tighest upper and lower bounds for $\log{ (\binom{n}{n/2})}$? I know that a naive upper bound would be $n \log{n}$ but is there any tighter bound? If so, how do I approach to solve this?
2026-04-24 19:18:49.1777058329
Upper bound on logarithm, of a binomial quotient.
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