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math.CO2020
Colored Motzkin Paths of Higher Order
Isaac DeJager, Madeleine Naquin, Frank Seidl +1
Motzkin paths of order- are a generalization of Motzkin paths that use steps , , and for every positive integer . We further gener…
math.CO2020★ 1 cited
Generalized Path Pairs and Fuss-Catalan Triangles
Paul Drube
Path pairs are a modification of parallelogram polyominoes that provide yet another combinatorial interpretation of the Catalan numbers. More generally, the number of path pairs of…
math.CO2016
Generating Functions for Inverted Semistandard Young Tableaux and Generalized Ballot Numbers
Paul Drube
An inverted semistandard Young tableau is a row-standard tableau along with a collection of inversion pairs that quantify how far the tableau is from being column semistandard. Suc…