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A simple proof of an identity of Pethe and Horadam

Published online by Cambridge University Press:  17 April 2009

Kuo-Jye Chen
Kuo-Jye Chen
Affiliation:
Department of MathematicsChanghua University of EducationChanghua 500, Taiwan
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Abstract

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An identity for two generalised Tribonacci sequences is obtained. Earlier identities by Pethe and Horadam follow as special cases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 117 - 121
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Harman, C.J., ‘Complex Fibonacci numbers’, Fibonacci Quart. 19 (1981), 82–86.Google Scholar
[2]Pethe, S. and Horadam, A.F., ‘Generalized Gaussian Fibonacci numbers’, Bull. Austral. Math. Soc. 33 (1986), 37–48.CrossRefGoogle Scholar
[3]Pethe, S., ‘Some identities for Tribonacci sequences’, The Fibonacci quarterly 26 (1988), 144–151.Google Scholar