• Start Date: January 31, 2019
  • Event Start Time: 5:00 PM
  • Event End Time: 6:00 PM
  • Seminar Series: Experimental Math Seminar
  • Presenter(s): Neil Sloane - OEIS Foundation
  • Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
  • Presentation Type: Stand Alone Presentation
  • 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).