Some Properties of a Third Order Partial Recurrence Relation

Authors : Anthony G. SHANNON, Ömür DEVECİ

Pages : 1089-1094

Doi:10.35378/gujs.770440

View : 15 | Download : 4

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