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

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