Unimodal Rays in the Regular and Generalized Pascal Pyramids
نویسندگان
چکیده
The present paper shows that any sequence of integers laying along a finite ray in any Pascal-pyramid is log-concave, consequently unimodal. Further, we describe an algorithm which provides the plateaus of the diagonal sequences locating on layer n of the regular Pascal pyramid.
منابع مشابه
Unimodal Rays in the Ordinary and Generalized Pascal Triangles
The present paper provides the solution of two problems recently posed by Bencherif, Belbachir and Szalay. For example, they conjectured that any sequence of binomial coefficients lying along a ray in Pascal’s triangle is unimodal. Research supported by LAID3 Laboratory of USTHB University and by TASSILI CMEP Accord 05 MDU641b. Research supported by a János Bolyai Scholarship of HAS, and by Hun...
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 18 شماره
صفحات -
تاریخ انتشار 2011