Add to ORKGABSTRACT: Th e Farey- B rocot ( F- 8) sequence c a n b e found i n a number of prolr lems, hoth in mathematics and in the em pi ri c al scienees. The prob lern of fi n d i ng a general formula a n ( j) for the j ' h element in t h e n " ro- 8 sequence is part ia l ly solved i n this paper, by giv ing i n formation on whal are t h e rat ional numbers i n tll (' n ' h ro-B sequenee. F i rst we show that it is suffieient to know t h e denorn i n ators i
Abstract Three variations on the Stern-Brocot sequence are related to the celebrated Thue-Morse seq...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
AbstractSome new sequences are introduced which satisfy quadratic recurrence rules similar to those ...
Linear recursion, think Fibonacci numbers, can be thought of as recursion along a line. Farey recurs...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
Abstract This paper proves several novel formulas for the length of a Farey sequence of order n. The...
AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical resul...
In this paper, we study the representation of a number by some other numbers. For instance, an inte...
The n-dimensional Stern-Brocot tree consists of all sequences (p₁, ...,p_{n}) of positive integers...
The class of binary recurrence relations is the mother of many important integer sequences. Fibonacc...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Farey sequence F(n) for a positive inte...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
One of the ongoing themes through the Math in the Middle coursework has been the idea of identifying...
In this paper we prove, in a purely combinatorial-algebraic way, a structural quasi-polynomiality pr...
Abstract Three variations on the Stern-Brocot sequence are related to the celebrated Thue-Morse seq...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
AbstractSome new sequences are introduced which satisfy quadratic recurrence rules similar to those ...
Linear recursion, think Fibonacci numbers, can be thought of as recursion along a line. Farey recurs...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
Abstract This paper proves several novel formulas for the length of a Farey sequence of order n. The...
AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical resul...
In this paper, we study the representation of a number by some other numbers. For instance, an inte...
The n-dimensional Stern-Brocot tree consists of all sequences (p₁, ...,p_{n}) of positive integers...
The class of binary recurrence relations is the mother of many important integer sequences. Fibonacc...
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe Farey sequence F(n) for a positive inte...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
One of the ongoing themes through the Math in the Middle coursework has been the idea of identifying...
In this paper we prove, in a purely combinatorial-algebraic way, a structural quasi-polynomiality pr...
Abstract Three variations on the Stern-Brocot sequence are related to the celebrated Thue-Morse seq...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
AbstractSome new sequences are introduced which satisfy quadratic recurrence rules similar to those ...