Catalan continued fractions and increasing subsequences in permutations (Q1850064)
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scientific article; zbMATH DE number 1839035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Catalan continued fractions and increasing subsequences in permutations |
scientific article; zbMATH DE number 1839035 |
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Catalan continued fractions and increasing subsequences in permutations (English)
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2 December 2002
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A Stieltjes continued fraction with monic monomial numerators is called a Catalan continued fraction. The authors prove that any Catalan continued fraction is the multivariate generating function of a family of statistics on the 132-avoiding permutations.
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Stieltjes continued fraction
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Catalan continued fraction
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generating function
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permutations
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0.9022892
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0.8927653
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0.8842948
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0.88264096
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0.8792702
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0.87670755
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0.87464267
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0.8740456
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0.8717794
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