Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Lucas Numbers and Relations with Generalized Fibonacci
  Numbers   In this paper, we present a new generalization of the Lucas numbers by matrix
representation using Genaralized Lucas Polynomials. We give some properties of
this new generalization and some relations between the generalized order-k
Lucas numbers and generalized order-k Fibonacci numbers. In addition, we obtain
Binet formula and combinatorial representation for generalized order-k Lucas
numbers by using properties of generalized Fibonacci numbers.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc