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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.31 No.4

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Padovan and Lucas­Padovan Quaternions

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.4, pp.427-437
https://doi.org/10.7468/jksmeb.2024.31.4.427
Lee Gwang Yeon (Hanseo University)
Kisoeb Park (Seoul Theological University)
Lee, G. Y. , & Kisoeb, P. (2024). Padovan and Lucas­Padovan Quaternions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(4), 427-437, https://doi.org/10.7468/jksmeb.2024.31.4.427

Abstract

In this paper, we introduce the Lucas-Padovan quaternions sequence. Initiating the studies based on the Padovan quaternion coe cients in relation to their recurrence, their matrix representation is then de ned. We investigate various aspects of these quaternions, including summation formulas and binomial sums.

keywords
Padovan number, quaternions, Lucas-Padovan number

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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