journal6 ›› 2013, Vol. 34 ›› Issue (2): 1-4.DOI: 10.3969/j.issn.1007-2985.2013.02.001

• Mathematics •     Next Articles

Counting of One Kind of Generalized Lattice Path


  1. (1.School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,Gansu China;2.Department of Mathematics,East China Normal University,Shanghai 200062,China)
  • Online:2013-03-25 Published:2013-04-23

Abstract: The generalized lattice path is made by joining path which is on a pair of diagonal vertices on the chessboard of m×n.The counting formula of the generalized lattice path whose length is m+n+2 on chessboard of m×n has been obtained by using the counting method of the spacing permutations.

Key words: chessboard, generalized lattice path, character sequence, bijection

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