Two 2-Fibonacci sequences generated by a mixed scheme. Part 1
- 10 June 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 28 (2), 331-338
- https://doi.org/10.7546/nntdm.2022.28.2.331-338
Abstract
A new scheme of 2-Fibonacci sequences is introduced and the explicit formulas for its n-th members are given. For difference of all previous sequences from Fibonacci type, the present 2-Fibonacci sequences are obtained by a new way. It is proved that the new sequences have bases with 48 elements about function phi and modulo 9.Keywords
This publication has 6 references indexed in Scilit:
- On two new combined 3-Fibonacci sequences. Part 3Notes on Number Theory and Discrete Mathematics, 2022
- On Bicomplex Fibonacci Numbers and Their GeneralizationPublished by Springer Science and Business Media LLC ,2018
- On two new combined 3-Fibonacci sequences. Part 2Notes on Number Theory and Discrete Mathematics, 2018
- On two new combined 3-Fibonacci sequencesNotes on Number Theory and Discrete Mathematics, 2018
- On (p, q)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sumsAdvances in Applied Clifford Algebras, 2016
- Factor-set of binary matrices and Fibonacci numbersApplied Mathematics and Computation, 2014