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Some number theoretic properties of arbitrary order recursive sequences

Published online by Cambridge University Press:  17 April 2009

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Abstract

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Type
Abstracts of Australasian PhD theses
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Gould, H.W., “Some combinatorial identities of Bruckman. A systematic treatment with relation to the older literature”, Fibonacci Quart. 10 (1972), 613627.Google Scholar
[2]Hilton, A.J.W., “The number of spanning trees of labelled wheels, fans and baskets”, The Proceedings of the Oxford Conference on Combinatorics (1972).Google Scholar
[3]Horadam, A.F., “Generating functions for powers of a certain generalised sequence of numbers”, Duke Math. J. 32 (1965), 437446.CrossRefGoogle Scholar
[4]Horadam, E.M., “The Euler ф function for generalized integers”, Proc. Amer. Math. Soc. 14 (1963), 754762.Google Scholar
[5]Lucas, Edouard, The theory of simply periodic numerical functions (translated by Kravitz, Sidney. Fibonacci Association, California, 1969).Google Scholar
[6]Selmer, Ernst S., Linear recurrence relations over finite fields (Department of Mathematics, University of Bergen, Norway, 1966).Google Scholar
[7]Ward, Morgan, “A calculus of sequences”, Amer. J. Math. 58 (1936), 255266.CrossRefGoogle Scholar
[8]Williams, H.C., “On a generalization of the Lucas functions”, Acta Arith. 20 (1972), 3351.CrossRefGoogle Scholar