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- Title
GENERALIZATION OF CASSINI FORMULAS FOR BALANCING AND LUCAS-BALANCING NUMBERS.
- Authors
RAY, P. K.; PARIDA, K.
- Abstract
The mathematical identity that connects three adjacent balancing numbers is well known under the name Cassini formula, and is used to establish many important identities involving balancing numbers and their related sequences. This article is an attempt to draw attention to some of the unusual properties of generalized balancing numbers, in particular, to the generalized Cassini formula.
- Subjects
LUCAS numbers; IDENTITIES (Mathematics); MATHEMATICAL sequences; DIOPHANTINE equations; RECURSIVE sequences (Mathematics)
- Publication
Matematychni Studii, 2014, Vol 42, Issue 1, p9
- ISSN
1027-4634
- Publication type
Article