Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free Fibonacci Sequences   This paper describes a class of sequences that are in many ways similar to
Fibonacci sequences: given n, sum the previous two terms and divide them by the
largest possible power of n. The behavior of such sequences depends on n. We
analyze these sequences for small n: 2, 3, 4, and 5. Surprisingly these
behaviors are very different. We also talk about any n. Many statements about
these sequences are difficult or impossible to prove, but they can be supported
by probabilistic arguments, we have plenty of those in this paper.
  We also introduce ten new sequences. Most of the new sequences are also
related to Fibonacci numbers proper, not just free Fibonacci numbers.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an