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)

Details

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).