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Generalized Oresme Numbers
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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.
Title: Generalized Oresme Numbers
Description:
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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