In this paper, we find some tridigonal matrices whose determinant and permanent are equal to the negatively subscripted balancing and Lucas- balancing numbers. Also using the First and second kind of Chebyshev polynomials, we obtain the factorization of these numbers.
@article{14263, title = {Factorizations of negatively subscripted balancing and Lucas-balancing numbers}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {31}, year = {2013}, doi = {10.5269/bspm.v31i2.14263}, language = {EN}, url = {http://dml.mathdoc.fr/item/14263} }
Ray, Prasanta Kumar. Factorizations of negatively subscripted balancing and Lucas-balancing numbers. Boletim da Sociedade Paranaense de Matemática, Tome 31 (2013) . doi : 10.5269/bspm.v31i2.14263. http://gdmltest.u-ga.fr/item/14263/