Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 2-adic valuation of generalized Fibonacci sequences with an
  application to certain Diophantine equations   In this paper we focus on finding all the factorials expressible as a product
of a fixed number of $2k$-nacci numbers with $k \geq 2$. We derive the 2-adic
valuation of the $2k$-nacci sequence and use it to establish bounds on the
solutions of the initial equation. In addition, we specify a more general
family of sequences, for which we can perform a similar procedure. We also
investigate a possible connection of these results with $p$-regular sequences.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an