Negative subscript Jacobsthal numbers

A. F. Horadam
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 3, 1997, Number 1, Pages 9–22
Full paper (PDF, 434 Kb)

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Authors and affiliations

A. F. Horadam
The University of New England,
Armidale, Australia 2351

AMS Classification

  • 11B83
    11B37

References

  1. J.D. Cassini. “Une nouvelle progression de nombres.” Histoire de I’Academie Royale des Sciences 1(1733):201. [Quoted in [3] below.]
  2. R. Descartes. The Geometry of Rene Descartes (translated from the French and Latin by D.E. Smith and Marcia L. Latham). Dover (1954): 240.
  3. R.L. Graham, D.E. Knuth, and Oren Patashnik. Concrete Mathematics: A Foundation for Computer Science. Addison-Wesley (1989).
  4. A.F. Horadam. “Associated Sequences of General Order.” Fibonacci Quarterly 31.2(1993): 166-172.
  5. A.F. Horadam. “Jacobsthal and Pell Curves.” Fibonacci Quarterly 26.1 (1988): 79-83.
  6. A.F. Horadam. “Jacobsthal Representation Numbers.” Fibonacci Quarterly 34.1 (1996): 40-54.
  7. A.F. Horadam. “A Synthesis of Certain Polynomial Sequences.” Applications of Fibonacci Numbers, Vol. 6, Kluwer Academic Publishers (to appear in 1995).
  8. E. Jacobsthal. “Fibonaccische Polynome und Kreisteilungsgleichungen.” Sitzungs- berichte der Berliner Mathematischen Gesellschaft 17(1919-20): 43-57.
  9. R. Simson. “An Explanation of an Obscure Passage in Albrecht Girard’s Commentary upon Simon Stevin’s Works.” Philosophical Transactions of the Royal Society 48.1(1753): 368-377.
  10. S. Vajda. Fibonacci and Lucas Numbers, and the Golden Section. Ellis Horwood (1989).

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Cite this paper

Horadam, A. F. (1997). Negative subscript Jacobsthal numbers. Notes on Number Theory and Discrete Mathematics, 3(1), 9-22.

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