Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial interpretations of binomial coefficient analogues related
  to Lucas sequences   Let s and t be variables. Define polynomials {n} in s, t by {0}=0, {1}=1, and
{n}=s{n-1}+t{n-2} for n >= 2. If s, t are integers then the corresponding
sequence of integers is called a Lucas sequence. Define an analogue of the
binomial coefficients by
  C{n,k}={n}!/({k}!{n-k}!) where {n}!={1}{2}...{n}. It is easy to see that
C{n,k} is a polynomial in s and t. The purpose of this note is to give two
combinatorial interpretations for this polynomial in terms of statistics on
integer partitions inside a k by n-k rectangle. When s=t=1 we obtain
combinatorial interpretations of the fibonomial coefficients which are simpler
than any that have previously appeared in the literature.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th