Özgür Erdağ, Anthony G. Shannon and Ömür Deveci

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 24, 2018, Number 1, Pages 109—119

DOI: 10.7546/nntdm.2018.24.1.109-119

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## Details

### Authors and affiliations

Özgür Erdağ

*Department of Mathematics, Faculty of Science and Letters
Kafkas University 36100, Turkey*

Anthony G. Shannon

*Fellow, Warrane College, The University of New South Wales
Kensington, 2033, Australia*

Ömür Deveci

*Department of Mathematics, Faculty of Science and Letters
Kafkas University 36100, Turkey
*

### Abstract

In this paper, we define the arrowhead-Pell-random-type sequence and then we obtain the generating function and the generating matrix of the sequence. Also, we derive the permanental, determinantal, combinatorial and exponential representations and the sums of the arrowhead-Pell-random-type numbers using the generating function and the generating matrix of the sequence.

### Keywords

- The arrowhead-Pell numbers
- Sequence
- Matrix

### 2010 Mathematics Subject Classification

- 11B50
- 11C20
- 20D60

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## Cite this paper

Kim, T., Kim, D. S., Mansour, T. & Jang, G.-W. (2018). The arrowhead-Pell-random-type sequences. Notes on Number Theory and Discrete Mathematics, 24(1), 109-119, doi: 10.7546/nntdm.2018.24.1.109-119.