J. V. Leyendekkers, J. H. Clarke and A. G. Shannon

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 4, 1998, Number 3, Pages 108—112

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## Details

### Authors and affiliations

J. V. Leyendekkers

*The University of Sydney, 2006, Australia
*

J. H. Clarke

*University of Technology,
Sydney (UTS), 2007, Australia*

A. G. Shannon

*University of Technology, Sydney, 2007, Australia*

### AMS Classification

- 11D09
- 11D 25
- 11B3S

### References

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- Hoggatt, Verner E. Jr. 1969 Fibonacci and Lucas Numbers Boston. Houghton Mifflin.
- Horadam, A.F. 1961. Fibonacci number triples American Mathematical Monthly, 68,8: 751-753
- Hunter, J, 1964. Number Theory. Edinburgh: Oliver and Boyd
- Leyendekkers, J.V., Rybak, J.M. and Shannon, A.G 1997. The anatomy of odd- exponent Diophantine triples. Notes on Number Theory & Discrete Mathematics. 3.1: 34-44.
- MacMahon, Percy A. 1915. Combinatory Analysis Volume 1. Cambridge Cambridge University Press
- Melham, R.S. (Submitted). Some analogues of the identity
- Melharn, R.S. (Submitted). Families of identities involving sums of powers of the Fibonacci and Lucas numbers.
- van der Poorten, Alf. 1996. Notes on Fermat’s Last Theorem. New York: Wiley- Interscience.
- Shannon, A.G. and Horadarn, A F. 1973. Generalized Fibonacci number triples. American Mathematical Monthly, 80.2; 187-190.
- Shannon, A.G. and Horadam, A.F. 1979. Special recurrence relations associated with the sequence {wn(a,b:p,q)}. The Fibonacci Quarterly. 1 7A: 294-299.
- Vorob’ev, N.N. 1961 Fibonacci Numbers. New York: Pergamon.

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## Cite this paper

Leyendekkers, J. V., Clarke, J. H. & Shannon, A. G. (1998). On sums of pairs of squares and cubes. Notes on Number Theory and Discrete Mathematics, 4(3), 108-112.