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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.31 No.4

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Padovan and Lucas­Padovan Quaternions

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2024, v.31 no.4, pp.427-437
https://doi.org/10.7468/jksmeb.2024.31.4.427
이광연 (한서대학교)
박기섭 (서울신학대학교)
이광연, & 박기섭. (2024). , 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

한국수학교육학회지시리즈B:순수및응용수학

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