Getachew, Frether (2013) Objects Counted by Central Delannoy Numbers. Masters thesis, Addis Ababa University.
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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 numbers.
| Item Type: | Thesis (Masters) |
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| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 01 Nov 2018 08:55 |
| Last Modified: | 01 Nov 2018 08:55 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/7247 |
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