The Fine numbers refined |
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| Authors: | Gi-Sang Cheon Sang-Gu Lee Louis W Shapiro |
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| Institution: | aDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;bDepartment of Mathematics, Howard University, Washington, DC 20059, USA |
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| Abstract: | We give a short combinatorial proof of a Fine number generating function identity and then explore some of the ramifications in terms of random walks, friendly walkers, and ordered trees. The results are also generalized to obtain similar results including those in Motzkin and Schröder settings. |
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