Automated Counting of Towers (\`A La Bordelaise) [Or: Footnote to p. 81 of the Flajolet-Sedgewick Chef-d'vre]

Abstract

The brilliant idea of Jean Betrema and Jean-Guy Penaud that proved the celebrated "three to the power n" theorem of Dominique Gouyou-Beauchamps and Xavier Viennot, counting towers of domino pieces is extended and used to enumerate much more general towers, where the pieces can be many i-mers.

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