On two-parameters generalization of Fibonacci numbers

Dorota Bród. "On two-parameters generalization of Fibonacci numbers." Mathematica Applicanda 45.1 (2017): null. <http://eudml.org/doc/293187>.

@article{DorotaBród2017,
abstract = {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.},
author = {Dorota Bród},
journal = {Mathematica Applicanda},
keywords = {Fibonacci numbers, Padovan numbers, distance Fibonacci numbers, generalized Fibonacci numbers, generating function, matrix generator},
language = {eng},
number = {1},
pages = {null},
title = {On two-parameters generalization of Fibonacci numbers},
url = {http://eudml.org/doc/293187},
volume = {45},
year = {2017},
}

TY - JOUR
AU - Dorota Bród
TI - On two-parameters generalization of Fibonacci numbers
JO - Mathematica Applicanda
PY - 2017
VL - 45
IS - 1
SP - null
AB - 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.
LA - eng
KW - Fibonacci numbers, Padovan numbers, distance Fibonacci numbers, generalized Fibonacci numbers, generating function, matrix generator
UR - http://eudml.org/doc/293187
ER -