科研之友
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摘要
The well-known Motzkin numbers were conjectured by Deutsch and Sagan to be nonzero 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.
- 出版日期2018-3-16
- 单位首都师范大学
