Krassimir T. Atanassov and Anthony G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 11, 2005, Number 3, Pages 25–32
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Authors and affiliations
Krassimir T. Atanassov 
CLBME – Bulgarian Academy of Sciences
P.O.Box 12, Sofia-1113, Bulgaria
Anthony G. Shannon
KvB Institute of Technology, North Sydney, NSW 2060
& Warrane College, Kensington, NSW 1465, Australia
Abstract
In [1-4] a digital arithmetical function is defined and its properties are described. Here we shall discuss its application to Fibonacci types of sequences.
References
- Atanassov K., An arithmetical function and some of its applications. Bulletin of Number Theory and Related Topics, Vol. IX (1985), No. I, 18-27.
- Atanassov K., More on ψ-function (I). Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 27-30.
- Atanassov K., More on ψ-function (II). Bulletin of Number Theory and Related Topics, Vol. XI (1987), No. 1, 31-36.
- 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.
Related papers
- Atanassov, K. T., & Shannon, A. G. (2020). On intercalated Fibonacci sequences. Notes on Number Theory and Discrete Mathematics, 26 (3), 218-223.
- Atanassova, L., & Andonov, V. (2024). New Fibonacci-type pulsated sequences. Part 2. Notes on Number Theory and Discrete Mathematics, 30(3), 634-639.
Cite this paper
Atanassov, K. T., and Shannon, A. G. (2005). Digit sum bases for Fibonacci and related numbers. Notes on Number Theory and Discrete Mathematics, 11(3), 25-32.
