A classification of Motzkin numbers modulo 8 (Q1753020)
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scientific article; zbMATH DE number 6873098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A classification of Motzkin numbers modulo 8 |
scientific article; zbMATH DE number 6873098 |
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A classification of Motzkin numbers modulo 8 (English)
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25 May 2018
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Summary: The well-known Motzkin numbers were conjectured by Deutsch and Sagan to be nonzero when modulo \(8\). The conjecture was first proved by Sen-Peng Eu, Shu-chung Liu and Yeong-Nan Yeh by using the factorial representation of the Catalan numbers. We present a short proof by finding a recursive formula for Motzkin numbers modulo \(8\). Moreover, such a recursion leads to a full classification of Motzkin numbers modulo \(8\).
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Motzkin numbers
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congruence classes
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