Continued Fractions, a-Fibonacci numbers, and the middle b-noise
Problem 1186 in The College Mathematics Journal asked for a closed form expression of the continued fraction [1;1; : : : ;1;3;1;1; : : : ;1], and reappeared as Problem 1385 in the PME journal. In this paper, we present a generalization to [a;a; : : : ;a;b;a;a; : : : ;a] with a-Fibonacci numbers and discuss how much the middle b-noise would impact the continued fractions with all a’s.
Authors
- Chong Pan (ORCID: https://orcid.org/0000-0002-8243-2645)
- Ai Bahadur Gurung
Institutions
- Juniata College (US)
Publication Details
- Journal
- Mathematics Exchange
- Published
- 2025-03-28
- DOI
- https://doi.org/10.33043/r6a225bc
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00