@article{Goy_Sharyn_2020, title={A note on Pell-Padovan numbers and their connection with Fibonacci numbers}, volume={12}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/3954}, DOI={10.15330/cmp.12.2.280-288}, abstractNote={<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>}, number={2}, journal={Carpathian Mathematical Publications}, author={Goy, T.P. and Sharyn, S.V.}, year={2020}, month={Aug.}, pages={280–288} }