Variations of the Catalan numbers from some nonassociative binary operations |
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| Institution: | 1. Department of Mathematics and Computer Science, Benedictine College, Atchison, KS 66002, USA;2. Department of Mathematics and Statistics, University of Nebraska at Kearney, Kearney, NE 68849, USA |
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| Abstract: | We investigate certain nonassociative binary operations that satisfy a four-parameter generalization of the associative law. From this we obtain variations of the ubiquitous Catalan numbers and connections to many interesting combinatorial objects such as binary trees, plane trees, lattice paths, and permutations. |
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| Keywords: | Binary operation Binary tree Catalan number Nonassociativity |
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