M. Cetin Firengiz and A. Dil

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 20, 2014, Number 4, Pages 21—32

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## Details

### Authors and affiliations

M. Cetin Firengiz

*Department of Mathematics Education, Başkent University
Baglıca 06810 Ankara, Turkey
* Corresponding author
*

A. Dil

*Department of Mathematics, Akdeniz University
07058 Antalya, Turkey
*

### Abstract

We obtain identities for the generalized second order recurrence relation by using the generalized Euler–Seidel matrix with parameters *x*, *y*. As a consequence, we give some properties and generating functions of well-known special integer sequences.

### Keywords

- Generalized Euler–Seidel matrix
- Fibonacci sequence
- Lucas sequence
- Pell sequence
- Jacobsthal sequence
- Generating function

### AMS Classification

- 11B39
- 11B83

### References

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- Mező, I., Several Generating Functions for Second-Order Recurrence Sequences, J. Integer Seq. Vol. 12, 2009, Article 09.3.7.
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## Cite this paper

APACetin Firengiz, M, & Dil, A. (2014). Generalized Euler–Seidel method for second order recurrence relations. Notes on Number Theory and Discrete Mathematics, 20(4), 21-32.

ChicagoCetin Firengiz, M., and A. Dil. “Generalized Euler–Seidel Method for Second Order Recurrence Relations.” Notes on Number Theory and Discrete Mathematics 20, no. 4 (2014): 21-32.

MLACetin Firengiz, M., and A. Dil.”Generalized Euler–Seidel Method for Second Order Recurrence Relations.” Notes on Number Theory and Discrete Mathematics 20.4 (2014): 21-32. Print.