Unrestricted Lichtenberg Hybrid Sequences

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.