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Research Article Open access CC BY 4.0

On Generalized 2-primes Numbers

Yüksel Soykan

Asian Journal of Advanced Research and Reports · pp. 34–53 · Published 16 Apr 2020

10.9734/ajarr/2020/v9i230217

Abstract

In this paper, we introduce the generalized 2-primes sequences and we deal with, in detail, three special cases which we call them 2-primes, Lucas 2-primes and modified 2-primes 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.

2-primes numbers Lucas 2-primes numbers generalized Fibonacci numbers.

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