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arXiv · 2007.08499

Combinatorics of Continuants of Continued Fractions with 3 Limits

Douglas Bowman·Herman D. Schaumburg
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Abstract

We give combinatorial descriptions of the terms occurring in continuants of general continued fractions that diverge to three limits. Equating these with the usual combinatorial descriptions due to Euler, Sylvester, and Minding induces nontrivial polynomial identities. Special cases and applications to counting sequences are given.

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Douglas Bowman, Herman D. Schaumburg. 2021-10-29. Combinatorics of Continuants of Continued Fractions with 3 Limits. https://arxiv.org/abs/2007.08499

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