201. On (k, p)-Fibonacci Numbers
- Author
-
Natalia Bednarz
- Subjects
Fibonacci number ,Mathematics::Combinatorics ,Generalization ,lcsh:Mathematics ,General Mathematics ,Matrix representation ,Mathematics::History and Overview ,Narayana numbers ,02 engineering and technology ,Fibonacci numbers ,lcsh:QA1-939 ,01 natural sciences ,Pell number ,010101 applied mathematics ,Narayana number ,Combinatorics ,0202 electrical engineering, electronic engineering, information engineering ,Computer Science (miscellaneous) ,020201 artificial intelligence & image processing ,0101 mathematics ,Pell numbers ,Engineering (miscellaneous) ,Mathematics - Abstract
In this paper, we introduce and study a new two-parameters generalization of the Fibonacci numbers, which generalizes Fibonacci numbers, Pell numbers, and Narayana numbers, simultaneously. We prove some identities which generalize well-known relations for Fibonacci numbers, Pell numbers and their generalizations. A matrix representation for generalized Fibonacci numbers is given, too.
- Published
- 2021
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