Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Odd Entries in Pascal's Trinomial Triangle   The nth row of Pascal's trinomial triangle gives coefficients of (1+x+x^2)^n.
Let g(n) denote the number of such coefficients that are odd. We review Moshe's
algorithm for evaluating asymptotics of g(n) -- this involves computing the
Lyapunov exponent for certain 2x2 random matrix products -- and then analyze
further examples with more terms and higher powers of x.

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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th