Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.3

The Super Patalan Numbers

Thomas M. Richardson
3438 N. Applecrest Ct., SE
Ada, MI 49301


We introduce the super Patalan numbers, a generalization of the super Catalan numbers in the sense of Gessel, and prove a number of properties analogous to those of the super Catalan numbers. The super Patalan numbers generalize the super Catalan numbers similarly to how the Patalan numbers generalize the Catalan numbers.

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(Concerned with sequences A025748 A025749 A025750 A025751 A025752 A025753 A025754 A025755 A025756 A025757 A068555 A097188 A248324 A248325 A248326 A248328 A248329 A248332.)

Received October 27 2014; revised version received January 27 2015. Published in Journal of Integer Sequences, February 10 2015.

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