Neo Balcobalancing Numbers

Abstract

In this paper we defined neo balcobalancing numbers, neo balcobalancers, neo Lucas-bal\-co\-ba\-lan\-cing numbers and neo Lucas-balcobalancers and determined the general terms of them in terms of balancing and also balancing and Lucas-balancing numbers. Conversely, we deduced the general terms of all balancing numbers in terms of neo balcobalancing numbers and neo Lucas-bal\-co\-ba\-lan\-cing numbers. We also derived some algebraic relations on Binet formulas, recurrence relations and sums of these numbers.