Balcobalancing numbers and balcobalancers II

Abstract

In this work, we derived some new algebraic results on continued fraction expansion of the ra-tio of the two consecutive balcobalancing numbers, circulant matrices and spectral norms, Pythagorean triples, characteristic polynomials and eigenvalues of the nth power of the companion matrices, Cassini and Catalan identities, cross-ratios and Heisenberg groups related to balcobalancing numbers, Lucas-balcobalancing numbers and balcobalancers.