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arxiv: 1206.4864 · v1 · pith:USM74U7Gnew · submitted 2012-06-21 · 🧮 math.CO

Automatic Counting of Tilings of Skinny Plane Regions

classification 🧮 math.CO
keywords methodinductiveplaneregionsskinnytilingsautomaticcounting
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The deductive method ruled mathematics for the last 2500 years, now it is the turn of the inductive method. Here we make a modest start by using the inductive method to discover and prove (rigorously) explicit generating functions for the number of dimer (and monomer-dimer) tilings of large families of "skinny" plane regions.

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