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arxiv: 1309.7567 · v1 · pith:J5YCKUITnew · submitted 2013-09-29 · 🧮 math.CO · math.NT

On the properties of a sequence concerning binomial coefficients

classification 🧮 math.CO math.NT
keywords propertiesbinombinomialcoefficientsconcerningfracintegerinvestigate
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For $n\ge 3$ let $f(n)$ be the least positive integer $k$ such that $\binom nk>\frac{2^n}{n+1}$. In this paper we investigate the properties of $f(n)$.

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