Generalized Oresme Numbers
Open Access
- 13 September 2021
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 7 (2), 333-367
- https://doi.org/10.34198/ejms.7221.333367
Abstract
In this paper, we introduce the generalized Oresme sequence and we deal with, in detail, three special cases which we call them modified Oresme, Oresme-Lucas and Oresme sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.Keywords
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