Hankel determinants of linear combinations of consecutive Catalan-like numbers |
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Authors: | Lili Mu Yi Wang Yeong-Nan Yeh |
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Institution: | 1. School of Mathematics, Liaoning Normal University, Dalian 116024, China;2. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;3. Institute of Mathematics, Academia Sinica, Taipei 10617, China |
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Abstract: | Let be a sequence of the Catalan-like numbers. We evaluate Hankel determinants and for arbitrary coefficients and . Our results unify many known results of Hankel determinant evaluations for classic combinatorial counting coefficients, including the Catalan, Motzkin and Schröder numbers. |
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Keywords: | Hankel determinant Catalan-like number Generating function |
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