Dergi Adı
Journal of Science a ...
170470
SOME IDENTITIES OF GADOVAN NUMBERS
Dişkaya, Orhan | Menken, Hamza
In this parer, we consider Padovan numbers with different initial values. We define the Gadovan numbers which generalizes a new class of Padovan numbers, and we derive Binet-like formulas, generating functions, exponential generating functions for the Gadovan numbers. Also, we obtain binomial sums, some identities and a matrix of the Gadovan numbers.
170397
ON THE WEIGHTED PADOVAN AND PERRIN SUMS
Dişkaya, Orhan | Menken, Hamza
In this paper, we obtain various weighted sum formulas using several sum formulas of Padovan and Perrin numbers.
170411
SOME PROPERTIES OF THE PLASTIC CONSTANT
Dişkaya, Orhan | Menken, Hamza
In this article, we construct the plastic number in the three-dimensional space. We examine the nested radicals and continued fraction expansions of the plastic ratio. In addition, we give some properties and geometric interpretations of the plastic constant.