TY - JOUR
AU - Goy, T.P.
AU - Sharyn, S.V.
PY - 2020/08/14
Y2 - 2024/11/07
TI - A note on Pell-Padovan numbers and their connection with Fibonacci numbers
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 12
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.12.2.280-288
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3954
SP - 280-288
AB - <p>In this paper, we find new relations involving the Pell-Padovan sequence which arise as determinants of certain families of Toeplitz-Hessenberg matrices. These determinant formulas may be rewritten as identities involving sums of products of Pell-Padovan numbers and multinomial coefficients. In particular, we establish four connection formulas between the Pell-Padovan and the Fibonacci sequences via Toeplitz-Hessenberg determinants.</p>
ER -