Open AccessThe arrowhead-Jacobsthal sequence
Author(s) -
Yeşim Aküzüm,
Ömür Devecı
Publication year - 2021
Publication title -
mathematica montisnigri
Language(s) - English
Resource type - Journals
eISSN - 2704-4963
pISSN - 0354-2238
DOI - 10.20948/mathmontis-2021-51-3
Subject(s) - sequence (biology) , fibonacci number , combinatorics , mathematics , computer science , chemistry , biochemistry
In the present investigation, we define the arrowhead-Jacobsthal sequence by the arrowhead matrix defined with the help of the characteristic polynomial of the generalized order-k Jacobsthal numbers. Next, we derive various properties of the arrowhead-Jacobsthal sequence by using its generating matrix. Also, we give connections between Fibonacci, Jacobsthal, Pell and arrowhead-Jacobsthal numbers.