A Study on Generalized Blaise Numbers
Asian Journal of Advanced Research and Reports · pp. 32–53 · Published 21 Jan 2023
10.9734/ajarr/2023/v17i1463Abstract
In this paper, we introduce and investigate the generalized Blaise sequences and we deal with, in detail, two special cases, namely, Blaise and Blaise-Lucas sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Furthermore, we show that there are close relations between Blaise, Blaise-Lucas and Jacobsthal-Padovan, Jacobsthal-Perrin, adjusted Jacobsthal-Padovan, modified Jacobsthal-Padovan numbers. Moreover, we give some identities and matrices related with these sequences.
Cited by 1
Maria Graciene Moreira dos Santos, F. Alves · Revista Internacional de Pesquisa em Educação Matemática · 2026
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