Objects Counted by Central Delannoy Numbers

No Thumbnail Available

Date

2013-02

Journal Title

Journal ISSN

Volume Title

Publisher

Addis Ababa University

Abstract

This work deals with Central Delannoy numbers, enumerated as Dn;n = (Dn)n_0 = 1, 3, 13, 63, 321, 1683, 8989, 48639, . . ., which counts the number of lattice paths running from (0; 0) to (n; n) by using the steps (1; 0), (0; 1) and (1; 1). We will see some collection of examples that these numbers count. Also we will try to solve a problem on the Delannoy numbers, that is, proving that the central Delannoy numbers also exist on the diagonal, in the rectangular format of another array of numbers, namely Sulanke numbe".

Description

Keywords

Objects Counted By Central

Citation

Collections