The Numbers on a Pascal-Like Triangle
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Published:
Aug 27, 2020
Keywords:
Pascal-like triangle Stirling number of the second kind
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Abstract
In 2014, Chen constructed a Pascal-like triangle for finding the formula of power
sums of the form . In this paper, we investigate a relationship between the Stirling
numbers of the second kind and the numbers on the Chen’ s Pascal- like triangle.
Moreover, we find the formula of the numbers on such the Pascal-like triangle.
Article Details
How to Cite
Sommanee, W. (2020). The Numbers on a Pascal-Like Triangle. Mathematical Journal by The Mathematical Association of Thailand Under The Patronage of His Majesty The King, 65(701), 65–72. Retrieved from https://ph02.tci-thaijo.org/index.php/MJMATh/article/view/217391
Section
Research Article
References
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functional matrix. Journal of Mathematical Extension, 7, 67-82.
[2] Chen, Z. (2014). A Pascal-like triangle from finding power sums. International
Journal of Mathematical Education in Science and Technology, 45(6), 932-938.
[3] Cohen, D. I. (1978). Basic techniques of combinatorial theory (No. 04; QA164, C6.).
[4] Matsui, H., Minematsu, D., Yamauchi, T., & Adera, R. M. (2010). Pascal-like triangles
and Fibonacci-like sequences. The Mathematical Gazette, 94(529), 27-41.
[5] Neal, D. (1994). The series and a Pascal-like triangle. The College Mathematics
Journal, 25(2), 99-101.
[6] Quaintance, J., & Gould, H. W. (2015). Combinatorial Identities for Stirling
Numbers: The Unpublished Notes of H.W. Gould. World Scientific.
functional matrix. Journal of Mathematical Extension, 7, 67-82.
[2] Chen, Z. (2014). A Pascal-like triangle from finding power sums. International
Journal of Mathematical Education in Science and Technology, 45(6), 932-938.
[3] Cohen, D. I. (1978). Basic techniques of combinatorial theory (No. 04; QA164, C6.).
[4] Matsui, H., Minematsu, D., Yamauchi, T., & Adera, R. M. (2010). Pascal-like triangles
and Fibonacci-like sequences. The Mathematical Gazette, 94(529), 27-41.
[5] Neal, D. (1994). The series and a Pascal-like triangle. The College Mathematics
Journal, 25(2), 99-101.
[6] Quaintance, J., & Gould, H. W. (2015). Combinatorial Identities for Stirling
Numbers: The Unpublished Notes of H.W. Gould. World Scientific.