Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computationally Efficient Bounds for the Sum of Catalan Numbers   Easily computable lower and upper bounds are found for the sum of Catalan
numbers. The lower bound is proven to be tighter than the upper bound, which
previously was declared to be only an asymptotic. The average of these bounds
is proven to be also an upper bound, and empirically it is shown that the
average is superior to the previous upper bound by a factor greater than (9/2).

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin