Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes

Abstract

In this article, we derive some identities involving k balancing and k-Lucas-balancing numbers of arithmetic indexes, say an + p, where a and p are some fixed integers with 0≤p≤a-1.

Keywords

• balancing numbers
• Lucas-balancing numbers
• k-balancing numbers
• k-Lucas-balancing numbers
• arithmetic index