Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a combinatorial problem of Asmus Schmidt   For any integer $r\ge2$, define a sequence of numbers
$\{c_k^{(r)}\}_{k=0}^\infty$, independent of the parameter $n$, by $$
\sum_{k=0}^n{\binom nk}^r{\binom{n+k}k}^r =\sum_{k=0}^n\binom
nk\binom{n+k}kc_k^{(r)}, \qquad n=0,1,2,...c. $$ We prove that all the numbers
$c_k^{(r)}$ are integers.

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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess