On Generalized Reverse 3-primes Numbers
Yuksel Soykan *
Deapartment of Mathematics, Art and Science Faculty, Zonguldak Bulent Ecevit University, 6700, Zonguldak, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce and investigate the generalized reverse 3-primes sequences and we deal with, in detail, three special cases which we call them reverse 3-primes, reverse Lucas 3-primes and reverse modified 3-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: Reverse 3-primes numbers, reverse Lucas 3-primes numbers, 3-primes numbers, Lucas 3-primes numbers, Tribonacci numbers.