Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Generating Functions Enumerating 12..d-Avoiding Words with r
  occurrences of each of 1,2, ... , n are D-finite for all d and all r   In this article, dedicated with admiration and gratitude to guru Neil Sloane
on his 75-th birthday, we observe that the generating functions for multi-set
permutations that do not contain an increasing subsequence of length d, and
where every letter appears the same number of times, say r, are always
D-finite, (for every d and every r), and we actually crank out the first few
terms of quite a few of them, many of whom are not yet in the OEIS. We also
state a conjectured asymptotic formula for these sequences, that reduces to
Amitai Regev's famous formula when r=1, and pledge a 100 dollar donation to the
OEIS in honor of the first one to prove our conjecture. We pledge another 100
dollars for extending Ira Gessel's spectacular Bessel determinant, from the r=1
case to general r.

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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg