On some Pascal’s like triangles. Part 1

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 13, 2007, Number 1, Pages 31–36
Full paper (PDF, 103 Kb)

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Authors and affiliations

Krassimir T. Atanassov
Centre for Biomedical Engineering – Bulgarian Academy of Sciences,
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, BULGARIA

Abstract

In a series of papers we shall discuss new types of Pascal’s like triangles. Triangles from the present form, but not with the present sense, are described in different publications, e.g. [1, 2, 3], but at least the author had not found a research with similar idea. In the first part of our research we shall study properties of “standard” sequences, while in the next parts the objects of our interest will be more nonstandard sequences.

References

1. Bondarenko, B., Generalized Pascal’s Triangles and Pyramids – Their Fractals, Graphs and Applications, Tashkent, Fan, 1990 (in Russian).
2. Goldwasser, J., W. Klostermeyer, M. Mays, G. Trapp, The density of ones in Pascal’s rhombus. Discrete mathematics, Vol. 204, 1999, 231-236.
3. Leyendekkers, J., A. Shannon, J. Rybak. Pattern recognition: Modular Rings & Integer Structure. Raffles KvB Monograph No. 9, North Sydney, 2007.