“Incomplete” Jacobsthal-type numbers

Piero Filipponi and Alwyn F. Horadam
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 4, 1998, Number 2, Pages 80–89
Full paper (PDF, 424 Kb)

Details

Authors and affiliations

Piero Filipponi
Fondazione Ugo Bordoni, Via B.
Castiglione 59, I-00142 Roma, Italy

Alwyn F. Horadam
University of New England, Armidale,
NSW 2351, Australia

References

1. P. Filipponi.”A Note on a Class of Lucas Sequences.” The Fibonacci Quarterly 29. 3 (1991): 256-63.
2. P. Filipponi.”Incomplete Fibonacci and Lucas Numbers.” Rend. Circ. Mat. Palermo Series II, 45. 1 (1996): 37-56.
3. A.F. Horadam.”Generalization of a Result of Morgado.” Port. Math. 44. 2 (1987): 131-6.
4. A.F. Horadam.”Jacobsthal Representation Numbers.” The Fibonacci Quarterly 34. 1 (1996): 40-54.
5. A.F. Horadam & P. Filipponi.”Derivative Sequences of Jacobsthal and Jacobsthal- Lucas Polynomials.” The Fibonacci Quarterly (to appear).
6. J. Riordan. Combinatorial Identities. New York: Wiley, 1968.
7. D. Singmaster.”Divisibility of Binomial Coefficients and Multinomial Coefficients by Primes and Prime Powers.” in A Collection of Manuscripts Related to the Fibonacci Sequence, 18th Anniversary Volume (V.E. Hoggatt, Jr. & M. Bicknell-Johnson, eds.). Santa Clara (CA): The Fibonacci Association, 1980.
8. S.Y. Yan. Perfect, Amicable and Sociable Numbers. Singapore: World Scientific Publ. Co., 1996.