Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the properties of a sequence concerning binomial coefficients   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 $f(n)$.

7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn