Journal of Integer Sequences, Vol. 20 (2017), Article 17.1.1

The Catalan Threshold Arrangement


Seunghyun Seo
Department of Mathematics Education
Kangwon National University
The Republic of Korea

Abstract:

The Catalan threshold arrangement is a hyperplane arrangement defined by xi + xj = 0,1,-1. Using the finite field method, we obtain the number of regions and the characteristic polynomial of the Catalan threshold arrangement. We also give the exponential generating function for the characteristic polynomial of the Catalan threshold arrangement.


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(Concerned with sequences A000108 A001850 A005840 A006318 A008288.)


Received July 27 2016; revised version received December 22 2016. Published in Journal of Integer Sequences, December 23 2016.


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