Prime and prime power divisibility of Catalan numbers
Ronald Alter,K.K Kubota +1 more
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TLDR
For any prime p, the sequence of Catalan numbers a n = 1 n 2n−2 n−1 is divided by the an prime to p into blocks Bk(k > 0) of an divisible by p, whose lengths and positions are determined.About:
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1973-11-01 and is currently open access. It has received 52 citations till now. The article focuses on the topics: Prime k-tuple & Almost prime.read more
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Proceedings ArticleDOI
Social network analysis of the global game jam network
TL;DR: The results indicate that jammers are most likely to work on teams between two and five members and often work together with the same colleagues, and while the game jam is a highly international event, jammers barely change their geographical locations.
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The odd Catalan numbers modulo 2^k
TL;DR: In this paper, it was shown that there exist only k - 1 different congruences of the odd Catalan numbers modulo 2^k for m = 1, 2,..., k- 1.
Journal Article
ODD CATALAN NUMBERS MODULO 2 k
TL;DR: In this paper, Liu and Yeh proved a conjecture by S.-C. Liu and C. Yeh that odd Catalan numbers can take exactly the same number of rounds as normal numbers.
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A combinatorial approach to the power of 2 in the number of involutions
Dongsu Kim,Jang Soo Kim +1 more
TL;DR: In this paper, the authors provided a combinatorial approach to the largest power of $p$ in the number of permutations for a fixed prime number, where p = 1.
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On polynomial recursive sequences
TL;DR: This work studies the expressive power of polynomial recursive sequences, a nonlinear extension of the well-known class of linear recursive sequences.
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Historical Note on a Recurrent Combinatorial Problem
TL;DR: Brown as mentioned in this paper presented a historical note on a recurrent combinatorial problem, The American Mathematical Monthly, 72:9, 973-977, DOI: 10.1080/00029890.1965.