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The Büchi sequences and Hilbert's Tenth Problem

(2016)

Banach Center Publications

In this short survey paper we state the Büchi conjecture and discuss its relations with the Hilbert Tenth Problem. We give some generalizations of the conjecture, and include some numerical examples.

The cube recurrence.

Carroll, Gabriel D., Speyer, David (2004)

The Electronic Journal of Combinatorics [electronic only]

The EKG sequence.

Lagarias, J.C., Rains, E.M., Sloane, N.J.A. (2002)

Experimental Mathematics

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