TY - JOUR
AU - Kızılateş, Can
AU - Du, Wei-Shih
AU - Qi, Feng
PY - 2022/08/01
Y2 - 2024/08/03
TI - Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 53
IS - 3
SE - Papers
DO - 10.5556/j.tkjm.53.2022.3743
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3743
SP - 277-291
AB - <p>In the paper, the authors present several explicit formulas for the $(p,q,r)$-Tribonacci polynomials and generalized Tribonacci sequences in terms of the Hessenberg determinants and, consequently, derive several explicit formulas for the Tribonacci numbers and polynomials, the Tribonacci--Lucas numbers, the Perrin numbers, the Padovan (Cordonnier) numbers, the Van der Laan numbers, the Narayana numbers, the third order Jacobsthal numbers, and the third order Jacobsthal--Lucas numbers in terms of special Hessenberg determinants.</p>
ER -