Some Properties of a Third Order Partial Recurrence Relation

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Gazi University Journal of Science
Volume:34 Issue:4
Some Properties of a Third Order Partial Recurrence Relation

Some Properties of a Third Order Partial Recurrence Relation

Authors : Anthony G SHANNON, Ömür DEVECİ

Pages : 1089-1094

Doi:10.35378/gujs.770440

View : 57 | Download : 8

Publication Date : 2021-12-01

Article Type : Research Paper

Abstract :This paper explores a connection between third order recursive sequences and generalized continued fractions by analogy with second order recursive sequences and ordinary two-dimensional continued fractions. It does this with a partial recurrence relation which is related to the original third order recurrence relation, and raises a related conjecture.
Keywords : Fibonacci numbers, Tribonacci numbers, Partial quotients, Euclidean algorithm

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