Advanced Mathematical Theories and ApplicationsAlgebraic and Geometric AnalysisMathematics and Applications
E. Spreafico, P. Catarino, Eudes Antonio Costa
2026.5.21Mathematica Bohemica
Abstract
. This article introduces a new generalization of Leonardo numbers called the tri-complex Leonardo numbers. Some properties, such as the recurrence relation and relations with the tricomplex Fibonacci and tricomplex Lucas numbers, are provided. Moreover, the Binet formula and the generating function are stated. In addition, some identities such as Tagiuri-Vajda’s, d’Ocagne’s, Cassini’s
Citation format
SPREAFICO, E.; CATARINO, P.; COSTA, Eudes Antonio. A note on tricomplex leonardo numbers. Mathematica Bohemica, 2026: 1–16.