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A Catalan triangle |
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| Authors: | L.W. Shapiro |
| Affiliation: | Department of Mathematics, Howard University, Washington, D.C. 20001, USA |
| Abstract: | We develop an arithmetic triangle similar to Pascal's triangle. The entries are interpreted in terms of numbers of pairs of nonintersecting paths in the first quadrant. The main applications are results about the Catalan numbers and various random walk problems. |
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