Seminars & Colloquia Calendar

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Experimental Mathematics Seminar

Coordination Sequences, Planing Numbers, and Other Recent Sequences (II) 

Neil Sloane, the OEIS Foundation and Rutgers University 

Location:  Hill 705
Date & time: Thursday, 31 January 2019 at 5:00PM - 6:00PM

Abstract:   Take the graph of a periodic tiling of the plane. The coordination sequence with respect to a node P gives the number of nodes that are n edges away from P. Chaim Goodman-Strauss and I have a new simple method for obtaining generating functions for such sequences. There are a number of interesting open questions. I will also discuss Lenormand's "raboter" operation that planes down numbers (e.g., 231 = 11100111_2 becomes 27 = 11011_2). This is an updated version of a talk given to just 4 people during the blizzard of Nov 15 2018. There is also a lovely new open problem: the knight's-move version of the Ulam-Warburton cellular automaton (A319018). 

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