Browsing by Author "Getachew, Frether"

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    Objects Counted by Central Delannoy Numbers
    (Addis Ababa University, 2013-02) Getachew, Frether; Getu, Seyoum (PhD)
    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".