Unrestricted Lichtenberg Hybrid Sequences

Year 2025, Volume: 13 Issue: 3, 156 - 164, 06.09.2025

Gamaliel Morales

https://doi.org/10.36753/mathenot.1689222

Abstract

This research introduces a novel category of hybrid numbers, with components represented by unrestricted Lichtenberg numbers. We present some recurrence relations, summation formulas, the Binet formula, and the generating function associated with these numbers. Additionally, a comprehensive Vajda's identity is derived, which encompasses Catalan's, Cassini's and d'Ocagne's identities as specific cases.

Keywords

Binet formula , Hybrid numbers , Lichtenberg sequence , Mersenne sequence , Unrestricted sequences

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