Open AccessProperties of Generalized 6-primes Numbers
Author(s) -
Yüksel Soykan
Publication year - 2020
Publication title -
archives of current research international
Language(s) - English
Resource type - Journals
ISSN - 2454-7077
DOI - 10.9734/acri/2020/v20i630199
Subject(s) - mathematics , sequence (biology) , lucas sequence , lucas number , arithmetic , discrete mathematics , fibonacci number , algebra over a field , pure mathematics , combinatorics , fibonacci polynomials , genetics , orthogonal polynomials , biology , difference polynomials
In this paper, we introduce the generalized 6-primes sequence and we deal with, in detail, three special cases which we call them 6-primes, Lucas 6-primes and modified 6-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.