In this paper, we establish a bijection between standard domino tableaux with at most three rows and partial Motzkin paths. Moreover, we establish a connection between skew standard domino tableaux with at most three rows and a variant of partial Motzkin paths within the nonnegative quadrant and enumerate such tableaux with n dominoes in terms of linear combinations of Motzkin numbers.
- Motzkin paths
- partial Motzkin paths
- skew standard domino tableaux
- standard domino tableaux
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics