Automated Counting of LEGO Towers

By Doron Zeilberger

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Appeared in J. Difference Equ. and Appl. 5 (1999), 323-333.

H.N.V. Temperley's ingenious method is genealized and programmed. This is just a modest beginning of a project, that who konws? will give the exact enumeration of animals (in some, yet to be found, exact sense of the word exact).

This paper is dedicated to Henry W. Gould on his binomial(8,4)th Birthday. Happy Birthday, Henry, and may you continue to study so fruitfully numbers, sequences, and identities.

This paper is accompanied by the Maple package LEGO. (More correctly, the paper accompanies the package.)

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