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Combinatorics of continuants of continued fractions with 3 limits
Journal of Combinatorial Theory Series A ( IF 0.9 ) Pub Date : 2021-10-29 , DOI: 10.1016/j.jcta.2021.105556
Douglas Bowman 1 , Herman D. Schaumburg 1
Affiliation  

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



中文翻译:

有 3 个极限的连分数连成式的组合学

我们给出发散到三个极限的一般连分数的连式中出现的项的组合描述。由于欧拉,将这种组合与通常的组合描述等同会导致非平凡的恒等式。给出了计数序列的特殊情况和应用。

更新日期:2021-10-29
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