n–Color compositions and lattice paths of Agarwal-Bressoud

M. Rana () and S. Sharma ()
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M. Rana: School of Mathematics, Thapar Institute of Engineering and Technology
S. Sharma: School of Mathematics, Thapar Institute of Engineering and Technology

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 87-95

Abstract: Abstract In the present work, lattice paths of Agarwal and Bressoud are modified by introducing backward horizontal step. These paths starting at (0, 0) with the modified terminology correspond to n–color compositions. Recurrence relations for a number of restricted n–color composition functions are proved using the lattice paths with these modifications.

Keywords: n–color compositions; Lattice paths; 05A17; 05A19; 11P21; 11P81 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00120-w

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