Generalized Identities for third order Pell Number, Pell-Lucas Number and Modified Pell Number

Main Article Content

Mongkol Tatong
Tawan Ampawa

Abstract

In this paper, we first presented the generalized Pell Number, Pell-Lucas Number and modified Pell Number, which are the recurrence relation by from the previous three terms. We have the Binet’s formula generating functions and generating functions of all three sequences. We establish some of the interesting properties involving of sequences those sequences.

Article Details

How to Cite
1.
Tatong M, Ampawa T. Generalized Identities for third order Pell Number, Pell-Lucas Number and Modified Pell Number. Prog Appl Sci Tech. [Internet]. 2020 Jun. 18 [cited 2024 Nov. 15];10(1):96-106. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/242910
Section
Mathematics and Applied Statistics

References

Panwar Y.K., Rathore G.P.S. and Chawla R. On the k-Fibonacci-like Number. Turkish Journal of Analysis and Number Theorem. 2014. 2(1) : 9-12.

Mahajan D. M., Arcade K. and Nagar B. The Binet Forms for the Fibonacci and Lucas Number. International Journal Mathematics Trends and Technology. 2014. 10(1) : 14-16.

Panwar Y. K. and Singh M. k-Generalized Fibonacci Numbers. Applied Mathematics and Physics. 2014. 2(1) : 10-12.

Wani A. A., Rathore G.P.S. and Sisodiya K. On the Properties of Fibonacci – Like Sequence. International Journal Mathematics Trends and Technology. 2016. 29(2): 80-86.

Jhala D., Sisodiya K. and Rathore G.P.S. On Some Identities for k-Jacobsthal Number, International Journal of Mathematics Analysis. 2013. 7(12) : 551-556.

Gupta Y. K., Singh M. and Sikhwal O. Generalized Fibonacci-Like Sequence Associated with Fibonacci and Lucas Sequences. Turkish Journal of Analysis and Number Theorem. 2014. 2(6) : 233-238.

Panwar Y. K., Rathore G.P.S. and Chawla R. On the k-Fibonacci Numbers. Applied Mathematics and Physics. 2014. 2(1): 9-12.

Natividad L.R. Deriving a Formula in Solving Fibonacci-like sequence. International Journal of Mathematics and Scientific Computing. 2011. 1(1): 19-21.

Gupta V.K., Panwar Y.K. and Gupta N. Identities of Fibonacci-Like sequence. Journal of Mathematical and Computational Science. 2012. 2(6): 1801-1807.