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# A Constant Term Identity Featuring the Ubiquitous (and Mysterious) Andrews-Mills-Robbins-Rumsey Numbers 1, 2, 7, 42, 429,

@article{Zeilberger1994ACT, title={A Constant Term Identity Featuring the Ubiquitous (and Mysterious) Andrews-Mills-Robbins-Rumsey Numbers 1, 2, 7, 42, 429,}, author={Doron Zeilberger}, journal={J. Comb. Theory, Ser. A}, year={1994}, volume={66}, pages={17-27} }

- Published 1994 in J. Comb. Theory, Ser. A

Andrews's recent proof of the Mills-Robbins-Rumsey conjectured formula for the number of totally symmetric self-complementary plane partitions is used to derive a new multi-variate constant term identity, reminiscent of, but not implied by, Macdonald's BC,-Dyson identity. The method of proof consists in translating to the language of constant terms an expression of Doran for the desired number in terms of sums of minors of a certain matrix. The question of a direct proof of the identity, which… CONTINUE READING

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