Properties of Generalized 6-primes Numbers
Yüksel Soykan *
Department of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, 67100, ¨ Zonguldak, Turkey.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Hexanacci numbers, 6-primes numbers, Lucas 6-primes numbers, modified 6-primes numbers.