Sum of Squares of ‘m’ Consecutive Woodall Numbers
Main Article Content
Abstract
This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers. An attempt to communicate the formula for the sums of squares of ‘m’ Woodall numbers and its matrix form are discussed. Further, this study expresses some more correlations between Woodall numbers and other special numbers.
Received 20/1/2023
Revised 11/2/2023
Accepted 12/2/2023
Published 1/3/2023
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
References
Friedberg R. An Adventurer's Guide to Number Theory. USA: Dover Publications; 2012. p. 282.
Burton D. Elementary Number Theory. 7th edition. USA: McGraw Hill; 2010. p. 448.
Griffiths M. Sums of Squares of Integers. In Moreno CJ, Wagstaff SS. Chapman & Hall/CRC; 2006. p. 354. Math Gaz. Cambridge University Press. 2008; 92(524):377-379. https://doi.org/10.1017/S002555720018355X
Jackson TH. From Polynomials to Sums of Squares. USA: CRC Press; 1995. p. 194.
Prodinger H, Selkirk SJ. Sums of Squares of Tetranacci Numbers: A Generating Function Approach. arXiv preprint arXiv: 1906.08336. 2019 Jun 19; 1-6. https://arxiv.org/pdf/1906.08336
Wamiliana, Suharsono, Kristanto PE. Counting the Sum of Cubes for Lucas and Gibonacci Numbers. Sci Technol. Indonesia. 2019; 4(2): 31-35. https://doi.org/10.26554/sti.2019.4.2.31-35
Soykan Y. A Closed Formula for the Sums of Squares of Generalized Tribonacci Numbers. J Progress Res Math. 2020; 16(2): 2932-2941. https://dergipark.org.tr/tr/download/article-file/1588784
Soykan Y. On the Sum of Squares of Generalized Mersenne Numbers: The Sum of formula ∑_(k=0)^n▒〖x^k w^(2 ) 〗m k + j. Int J Adv Appl Math Mech. 2021; 9(2): 28 – 37. http://www.ijaamm.com/uploads/2/1/4/8/21481830/v9n2p3_28-37.pdf
Johari MAM, Sapar SH, Zaini NA. Relation Between Sums of Squares and Sums of Centred Pentagonal Numbers Induced by Partitions of 8. Malaysian J Math Sci. 2021; 15(1): 21-31.
Soykan Y. Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers. Asian J Adv Res Rep. 2020; 9(1): 23-39. https://doi.org/10.9734/ajarr/2020/v9i130212
Soykan Y. On the Sums of Squares of Generalized Tribonacci Numbers: Closed Formulas of ∑_(k=0)^n▒〖x^k W_k^2 〗. Arch Curr Res Int. 2020; 20(4): 22-47. https://doi.org/10.9734/acri/2020/v20i430187
Soykan Y. Generalized Fibonacci Numbers: Sum Formulas of the Squares of Terms. MathLAB J. 2020; 5(5): 46-62. http://www.purkh.com/index.php/mathlab
Adirasari RP, Suprajitno H, Susilowati L. The Dominant Metric Dimension of Corona Product Graphs. Baghdad Sci J. 2021; 18(2): 349-356. https://doi.org/10.21123/bsj.2021.18.2.0349
Hussein LH, Abed SS. Fixed Point Theorems in General Metric Space with an Application. Baghdad Sci J. 2021; 18(1(Suppl.)): 812-815. https://doi.org/10.21123/bsj.2021.18.1(Suppl.).0812