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Correlation functions in a dynamic quartic matrix model are obtained from thetwo-point function through a recurrence relation. This paper gives the explicitsolution of the recurrence by mapping it bijectively to a two-fold nestedcombinatorial structure each counted by Catalan numbers. These `nested Catalantables' have a description as diagrams of non-crossing chords and threads.

Nested Catalan tables and a recurrence relation in noncommutative quantum field theory