The Hadamard-type Padovan-p Sequences

Authors : Yeşim AKÜZÜM

Pages : 102-109

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Publication Date : 2020-10-31

Article Type : Research Paper

Abstract :In this paper, we define the Hadamard-type Padovan-p sequence by using the Hadamard-type product of characteristic polynomials of the Padovan sequence and the Padovan-p sequence. Also, we derive the generating matrices for these sequences. Then using the roots of characteristic polynomial of the Hadamard-type Padovan-p sequence, we produce the Binet formula for the Hadamard-type Padovan-p numbers. Also, we give the permanental, determinantal, combinatorial, exponential representations and the sums of the Hadamard-type Padovan-p numbers.
Keywords : The Hadamard product, The Padovan p sequence, Matrix, Representation