t-cobalancing numbers and t-cobalancers

Abstract

In this work, we determine the general terms of t-cobalancers, t-cobalancing numbers and Lucas t-cobalancing numbers by solving the Pell equation 2x 2 − y 2 = 2t 2 − 1 for some fixed integer t ≥ 1.

Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers

“…Balancing numbers and their generalizations have been investigated by several authors from many aspects (see [5,6,7,8,15,16,17,20,21]). Recently, almost balancing numbers defined by Panda and Panda in [13].…”