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On a property of lattice paths
Journal article

On a property of lattice paths

Abstract

It is well known that the number of lattice paths restricted by a one-sided boundary satisfies a recurrence relation involving coefficients which are counting numbers for unrestricted paths. In the same relation if the coefficients become counting numbers forrestricted paths it is shown that the number satisfying the new recurrence relation is a counting number for paths restricted by a new boundary.

Authors

Handa BR; Mohanty SG

Journal

Journal of Statistical Planning and Inference, Vol. 14, No. 1, pp. 59–62

Publisher

Elsevier

Publication Date

May 1986

DOI

10.1016/0378-3758(86)90010-8

ISSN

0378-3758