Research Article
ON SOME PROPERTIES OF PRODUCT OF FIBONACCI AND LUCAS NUMBERS
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 186 - Issue 81 |
| Published: April 2025 |
| Authors: Yashwant K. Panwar, Minal Gwala, Ronak Goyal |
10.5120/ijca2025924751
|
Yashwant K. Panwar, Minal Gwala, Ronak Goyal . ON SOME PROPERTIES OF PRODUCT OF FIBONACCI AND LUCAS NUMBERS. International Journal of Computer Applications. 186, 81 (April 2025), 23-26. DOI=10.5120/ijca2025924751
@article{ 10.5120/ijca2025924751,
author = { Yashwant K. Panwar,Minal Gwala,Ronak Goyal },
title = { ON SOME PROPERTIES OF PRODUCT OF FIBONACCI AND LUCAS NUMBERS },
journal = { International Journal of Computer Applications },
year = { 2025 },
volume = { 186 },
number = { 81 },
pages = { 23-26 },
doi = { 10.5120/ijca2025924751 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2025
%A Yashwant K. Panwar
%A Minal Gwala
%A Ronak Goyal
%T ON SOME PROPERTIES OF PRODUCT OF FIBONACCI AND LUCAS NUMBERS%T
%J International Journal of Computer Applications
%V 186
%N 81
%P 23-26
%R 10.5120/ijca2025924751
%I Foundation of Computer Science (FCS), NY, USA
Abstract
This study presenting the properties of numbers that we get by multiplying Fibonacci and Lucas numbers. Namely we define recurrence relation T_(n+2)=3T_(n+1)-T_n, n≥0 with T_0=0, T_1=1 . We investigate some basic properties of product of Fibonacci and Lucas numbers such as the Binet formula, generating function, generalized identity. We shall use the Binet’s formula and generating function for derivation. Also, we present its two cross two matrix representation.
References
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