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Published online by Cambridge University Press:  01 August 2016

John Sharp
John Sharp*
Affiliation:
20 The Glebe, Watford WD2 6LR
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Extract

The Fibonacci series 0,1,1,2,3,5,8,13,.... is well known because so many properties have been found for it and because there are many instances of it occurring both in nature and mathematics. It is of course formed from the recurrence relationship

The Tribonacci series 0,1,1,2,4,7,13,24,44,81,149,... is formed in a similar way but from the recurrence

Type
Articles
Information
The Mathematical Gazette , Volume 82 , Issue 494 , July 1998 , pp. 203 - 214
Copyright
Copyright © The Mathematical Association 1998

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References

1. Williams, Robert The geometrical foundation of natural structure, Dover (1979).Google Scholar
2. Messer, Peter private communication, to be published.Google Scholar
3. Cundy, H. M. and Rollett, A. P. Mathematical models, Oxford University Press (1961).Google Scholar
4. Sloane, N. J. A. A handbook of integer sequences, Academic Press (1973).Google Scholar
5. Sloane, N. J. A. and Plouffe, Simon The encyclopaedia of integer sequences, Academic Press (1994).Google Scholar
6. The Internet address for the ISC is http://www.cecm.sfu.ca/projects/ISC/ISCmain.html Google Scholar
7. Hayes, Brian A question of numbers, American Scientist 84 (Jan-Feb 1996).Google Scholar