A remark on ψ-function and Pell–Padovan’s sequence

Krassimir Atanassov, Dimitar Dimitrov and Anthony Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 15, 2009, Number 2, Pages 1–44
Full paper (PDF, 242 Kb)

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Authors and affiliations

Krassimir Atanassov
CLBME – Bulgarian Academy of Sciences
P.O.Box 12, Sofia-1113, Bulgaria

Dimitar Dimitrov
CLBME – Bulgarian Academy of Sciences
P.O.Box 12, Sofia-1113, Bulgaria

Anthony Shannon
Warrane College, University of New South Wales
Kensington, 1465, Australia

References

1. Atanassov, K. An arithmetic function and some of its applications. Bull. of Number Theory and Related Topics, Vol. IX (1985), No. 1, 18-27.
2. Atanassov, K., D. Dimitrov, A. Shannon. A remark on ψ-function and Fibonacci sequence. Notes on Number Theory and Discrete Mathematics, Vol. 15, 2009, No. 1, 1-11.
3. Atanassov K., A. Shannon, J. Clarke, A digit sum arithmetical function. Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 37-49.
4. Shannon, A.G., P.G. Anderson, A.F. Horadam. Properties of Cordonnier, Perrin and Van der Laan numbers. International Journal of Mathematical Education in Science & Technology. 37, 7, 2006, 825-831.
5. Shannon A., A. Horadam, Generalized staggered sums. The Fibonacci Quarterly, Vol. 29 (1991), No. 1, 47-51.
6. Shannon, A.G., A.F. Horadam, P.G. Anderson. The auxiliary equation associated with the plastic number. Notes on Number Theory and Discrete Mathematics. 12, 1, 2006, 1-12.
7. Shannon, A.G., C.K. Wong. Some properties of generalized third order Pell numbers. 13th International Conference on Fibonacci Numbers and Their Applications, University of Patras, Greece, 7-11 July 2008.