journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1574 Bidimensional extensions of balancing and Lucas-balancing numbers Chimpanzo J. Department of Exact Sciences, Higher Polytechnic Institute of Soyo, Soyo, Zaire-Angola, Angola Catarino P. Department of Mathematics, Quinta de Prados, University of Trás-os-Montes e Alto Douro, Vila Real, 5001-801, Portugal Vasco P. Department of Mathematics, Quinta de Prados, University of Trás-os-Montes e Alto Douro, Vila Real, 5001-801, Portugal Borges A. Department of Mathematics, Quinta de Prados, University of Trás-os-Montes e Alto Douro, Vila Real, 5001-801, Portugal 27 1 95 115 24 01 2024

In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.

 Balancing numbers Lucas-balancing numbers Square triangular numbers Bidimensional recurrence relations access open retracted no