Proof of a Conjecture of Gessel
نویسنده
چکیده
We present a computer proof for the empirical observation of Gessel that the number of closed paths in the quarter plane with steps going east, west, south-east, and north-west has a nice closed form.
منابع مشابه
A human proof of Gessel’s lattice path conjecture
Gessel walks are lattice paths confined to the quarter plane that start at the origin and consist of unit steps going either West, East, South-West or North-East. In 2001, Ira Gessel conjectured a nice closed-form expression for the number of Gessel walks ending at the origin. In 2008, Kauers, Koutschan and Zeilberger gave a computer-aided proof of this conjecture. The same year, Bostan and Kau...
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