Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Linear Recurrences Motivated by Stern's Diatomic Array   We define a triangular array closely related to Stern's diatomic array and
show that for a fixed integer $r\geq 1$, the sum $u_r(n)$ of the $r$th powers
of the entries in row $n$ satisfy a linear recurrence with constant
coefficients. The proof technique yields a vast generalization. In certain
cases we can be more explicit about the resulting linear recurrence.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess