journal-of-information-and-optimization-sciences Journal of Information and Optimization Sciences 2169-0103 0252-2667 Taru Publications 10.47974/JIOS-1840 A note on Pell-Padovan Tetranacci numbers and their ordinary generating functions with special numbers and Chebychev polynomials Zerroug Hassina Department of Mathematics, Faculty of Exacte Sciences and Informatics, Mathematics Laboratories and Applications of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, 18000, Algeria 47 3 1037 1049 13 12 2025

In this paper, we use the symmetrizing operators δ1a1 a2, δ2a1 a2 and δ3a1 a2 for giving some ordinary generating functions related to the products of the Pell-Padovan Tetranacci numbers with k-Fibonacci, k-Pell, k-Jacobsthal, k-Mersenne numbers and Chebychev polynomials. 

 Symmetric functions Ordinary generating functions Pell-Padovan Tetranacci numbers k-Fibonacci numbers k-Pell numbers k-Jacobsthal numbers k-Mersenne numbers Chebychev polynomials access open retracted no