On the properties of a sequence concerning binomial coefficients

Abstract

For $n\ge 3$ let $f(n)$ be the least positive integer $k$ such that $\left(\genfrac{}{}{0ex}{}{n}{k}\right)>\frac{2^n}{n+1}$. In this paper we investigate the properties of $f(n)$.

7 pages

References in corpus (1)

• Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper

Cited by in corpus (1)

• Inequalities for binomial coefficients