- Gazi University Journal of Science
- Vol: 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 Deveci
Pages : 1089-1094
Doi:10.35378/gujs.770440
View : 11 | Download : 5
Publication Date : 2021-12-01
Article Type : Research
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