Some identities on the Catalan, Motzkin and Schröder numbers |
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| Authors: | Eva Y.P. Deng Wei-Jun Yan |
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| Affiliation: | aDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China;bDepartment of Foundation Courses, Neusoft Institute of Information, Dalian 116023, PR China |
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| Abstract: | In this paper, some identities between the Catalan, Motzkin and Schröder numbers are obtained by using the Riordan group. We also present two combinatorial proofs for an identity related to the Catalan numbers with the Motzkin numbers and an identity related to the Schröder numbers with the Motzkin numbers, respectively. |
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| Keywords: | Catalan number Motzkin number Schrö der number Riordan group |
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