On k-Pell hybrid numbers

Abstract

The aim of this work is to introduce a new sequence of numbers called k-Pell hybrid numbers and the presentation of some algebraic properties involving this sequence. In addition, we present the Binet formula, the generating functions and some identities related with different terms of the sequence.

Subject Classification:

• Primary 11B37
• Secondary 11R52
• 05A15
• 97F50

Keywords:

• k-Pell numbers
• Hybrid numbers
• Generating functions
• Recurrence relations