Sum of Squares of ‘n’ Consecutive Carol Numbers

Authors

P. SHANMUGANANDHAM, National College, Bharadhidasan University, Tiruchirappalli, India.Follow
C. DEEPA, Research Scholar, National College, Tiruchirappalli, India.Follow

Abstract

The discussion in this paper gives several theorems and lemmas on the Sums of Squares of consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

Keywords

Carol Numbers, Cullen Numbers, Fibonacci, Sum of Squares, Woodall Numbers

Article Type

Special Issue Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

SHANMUGANANDHAM, P. and DEEPA, C. (2023) "Sum of Squares of ‘n’ Consecutive Carol Numbers," Baghdad Science Journal: Vol. 20: Iss. 1, Article 30.
DOI: https://doi.org/10.21123/bsj.2023.8399