On the congruences of some combinatorial numbers

Sen Peng Eu, Shu Chung Liu, Yeong Nan Yeh

研究成果: 雜誌貢獻文章

4 引文 斯高帕斯(Scopus)


In this paper, we apply Lucas' theorem to evaluate the congruences of several combinatorial numbers, including the central Delannoy numbers and a class of Apéry-like numbers, the numbers of noncrossing connected graphs, the numbers of total edges of all noncrossing connected graphs on n vertices, etc. One of these results verifies a conjecture given by Deutsch and Sagan recently. In the end, we use an automaton to explain the idea of our approach.

頁(從 - 到)135-144
期刊Studies in Applied Mathematics
出版狀態已發佈 - 2006 二月 1

ASJC Scopus subject areas

  • Applied Mathematics

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