Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Properties of Generalized $n$-step Fibonacci Numbers   We present numerous interesting, mostly new, results involving the $n$-step
Fibonacci numbers and $n$-step Lucas numbers and a generalization. Properties
considered include recurrence relations, summation identities, including
binomial and double binomial summation identities, partial sums and ordinary
generating functions. Explicit examples are given for small $n$ values.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an