Unimodal Rays in the Ordinary and Generalized Pascal Triangles

نویسندگان

  • Hacène Belbachir
  • László Szalay
چکیده

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 Hungarian National Foundation for Scientific Research Grant No. T 048954 MAT, No. T 61800 FT.

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تاریخ انتشار 2008