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On Reciprocal Sums of Second Order Sequences

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Applications of Fibonacci Numbers

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Abstract

Several authors have studied sequences of polynomials generated by third order recurrences where the polynomials had links with the Fibonacci numbers. Horadam [7] considered the polynomials

$$ {q_n}(x) = 2x{q_{n - 1}}(x) - {q_{n - 3}}(x),\,n \geqslant 3,\,({q_0}(x),{q_1}(x),{q_2}(x)) = (0,2,2x). $$
(1)

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References

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Authors
  1. R. S. Melham
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  2. A. G. Shannon
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Editor information

Editors and Affiliations

  1. Computer Science Department, South Dakota State University, Box 2201, 57007-1596, Brookings, South Dakota, USA

    Gerald E. Bergum

  2. 26 Atlantis Street, Aglangia, Nicosia, Cyprus

    Andreas N. Philippou

  3. Department of Mathematics, Statistics and Computer Science, The University of New England, Armidale, New South Wales, 2351, Australia

    Alwyn F. Horadam

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© 1996 Kluwer Academic Publishers

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Melham, R.S., Shannon, A.G. (1996). On Reciprocal Sums of Second Order Sequences. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0223-7_30

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  • DOI: https://doi.org/10.1007/978-94-009-0223-7_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6583-2

  • Online ISBN: 978-94-009-0223-7

  • eBook Packages: Springer Book Archive

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