%0 Journal Article %T Application of Chybeshev Polynomials in Factorizations of Balancing and Lucas-Balancing Numbers %A Prasanta Kumar Ray %J Boletim da Sociedade Paranaense de Matem¨¢tica %D 2012 %I Sociedade Brasileira de Matem¨¢tica %X In this paper, with the help of orthogonal polynomial especially Chybeshev polynomials of first and second kind, number theory and linear algebra intertwined to yield factorization of the balancing and Lucas-balancing numbers. %K Balancing numbers %K balancers %K Lucas-balancing numbers %K triangular numbers. %U http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/12714/7232