Continuants with equal values, a combinatorial approach

2021/05/19 by Ramharter, Gerhard, Zamboni, Luca Q.
#05A20 #68W05 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #primary 11J70 #secondary 68R15

paper · doi:10.48550/arxiv.2105.09000

Abstract

A regular continuant is the denominator K of a terminating regular continued fraction, interpreted as a function of the partial quotients. We regard K as a function defined on the set of all finite words on the alphabet 1<2<3

Related

• Continuants and convergence of certain continued fractions
• Combinatorics of Continuants of Continued Fractions with 3 Limits
• Bifurcating Continued Fractions II
• A Study of Second-Order Linear Recurrence Sequences via Continuants
• Some conjectural continued fractions