Some new families of generalized 
-Leonardo and Gaussian Leonardo Numbers

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Prasad Kalika; Mohanty Ritanjali; Kumari Munesh; Mahato Hrishikesh

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Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2024 | Volume:9 | Issue:3 Page(s): 539-553

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Information Journal Paper

Title

Some new families of generalized -Leonardo and Gaussian Leonardo Numbers

Author(s)

Prasad Kalika | Mohanty Ritanjali | Kumari Munesh | Mahato Hrishikesh | Issue Writer Certificate

Keywords

k-Leonardo numbers

k-Gaussian Leonardo numbers

Binet formula

Generating functions

Partial sum

Abstract

In this paper, we introduce a new family of the generalized
-Leonardo numbers and study their properties. We investigate the Gaussian Leonardo numbers and associated new families of these Gaussian forms. We obtain combinatorial identities like Binet formula, Cassini's identity, Partial sum, etc. in the closed form. Moreover, we give various generating and exponential generating functions.

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