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90.02 Calculating exact cycle lengths in the generalised Fibonacci sequence modulo p

Published online by Cambridge University Press:  01 August 2016

Dominic Vella  and
Alfred Vella
Dominic Vella
Affiliation:
194 Buckingham Road, Bletchley, Milton Keynes MK3 5JB email: fibonacci@thevellas.com
Alfred Vella
Affiliation:
194 Buckingham Road, Bletchley, Milton Keynes MK3 5JB email: fibonacci@thevellas.com
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Abstract

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Information
The Mathematical Gazette , Volume 90 , Issue 517 , March 2006 , pp. 70 - 77
Copyright
Copyright © The Mathematical Association 2006

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References

1. Wall, D. D., Fibonacci series modulo m. Amer. Math. Monthly 67 (1960) pp. 525–532.Google Scholar
2. Vella, D. and Vella, A., Cycles in the generalized Fibonacci sequence modulo a prime, Math. Mag. 75 (2002) pp. 294–299.Google Scholar
3. Vella, D. and Vella, A., Some properties of finite Fibonacci sequences, Math. Gaz. 88 (November 2004) pp. 494–500.Google Scholar
4. Li, H.-C., On second-order linear recurrence sequences: Wall and Wyler Revisited. The Fibonacci Quarterly 37.4 (1999) pp. 342–349.Google Scholar
5. Lucas, E., Théorie des fonctions numériques simplement périodiques. Amer. J. Math. 1 (1878) pp. 184–240, 289–321.CrossRefGoogle Scholar
6. Wells, D., The Penguin dictionary of curious and interesting numbers, (rev. edn.), Penguin Books (1997).Google Scholar
7. Li, H.-C., Conditions for the existence of generalized Fibonacci primitive roots, The Fibonacci Quarterly 38.3 (2000) pp. 244–249.Google Scholar