On two-parameters generalization of Fibonacci numbers

• Autorzy: Dorota Bród
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce  a new two-parameters generalization ofFibonacci numbers - distance s-Fibonacci numbers  F_s(k,n). We generalize known distance Fibonacci numbers by adding an additional integer parameter s. We give combinatorial and graph interpretations of these numbers. Moreover, we present some properties of distance s-Fibonacci numbers, which generalize known properties of classical Fibonacci and Padovan numbers.

Słowa kluczowe

EN

Fibonacci numbers, Padovan numbers, distance Fibonacci numbers, generalized Fibonacci numbers, generating function, matrix generator

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 2017
• Tom: 45
• Numer: 1

Daty

wydano

2017

online

2017-08-13

Twórcy

autor

Dorota Bród

Identyfikatory

DOI

10.14708/ma.v45i1.1110