Padovan and Lucas­Padovan Quaternions

한국수학교육학회지시리즈B:순수및응용수학 / 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

이광연 (한서대학교)
박기섭 (서울신학대학교)

이광연, & 박기섭. (2024). . 한국수학교육학회지시리즈B:순수및응용수학, 31(4), 427-437, https://doi.org/10.7468/jksmeb.2024.31.4.427

복사

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

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Vol.31 No.4

Padovan and Lucas­Padovan Quaternions

Abstract

한국수학교육학회지시리즈B:순수및응용수학

Padovan and LucasPadovan Quaternions