Sum of Squares of ‘m’ Consecutive Woodall Numbers

Main Article Content

P. Shanmuganandham
https://orcid.org/0000-0002-9942-7105
T. Deepika
https://orcid.org/0000-0001-8268-2444

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.

Article Details

How to Cite
1.
Sum of Squares of ‘m’ Consecutive Woodall Numbers. Baghdad Sci.J [Internet]. 2023 Mar. 1 [cited 2024 Mar. 29];20(1(SI):0345. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8409
Section
article

How to Cite

1.
Sum of Squares of ‘m’ Consecutive Woodall Numbers. Baghdad Sci.J [Internet]. 2023 Mar. 1 [cited 2024 Mar. 29];20(1(SI):0345. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8409

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

Similar Articles

You may also start an advanced similarity search for this article.