Horizontal runs in domino tilings

Kamilla Oliver, Helmut Prodinger

Abstract


We discuss tilings of a grid (of size n × 2) with dominoes of size 2 × 1. Parameters that might be called "longest run" are investigated, in terms of generating functions and also asymptotically. Extensions are also mentioned.

Keywords


Tiling, Generating function, Asymptotic, Bootstrapping, Mellin transform, Fibonacci numbers

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ISSN: 2148-838X