Generalized Oresme Numbers

  • Yüksel Soykan Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak, Turkey
Keywords: Oresme numbers, Oresme-Lucas numbers, generalized Fibonacci numbers


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.


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How to Cite
Soykan, Y. (2021). Generalized Oresme Numbers. Earthline Journal of Mathematical Sciences, 7(2), 333-367.