OFFSET
2,1
COMMENTS
Row sums give A000085, n >= 2.
The promotion operator, applied to a standard tableau t, does the following:
Remove the letter n from t, thus leaving a hole where it used to be. Apply jeu de taquin to move this hole southwest (in French notation) until it reaches the inner boundary of t. Fill 0 into the hole once jeu de taquin has completed. Finally, add 1 to each letter in the tableau. The resulting standard tableau is the image of t under the promotion operator.
LINKS
FindStat - Combinatorial Statistic Finder, The orbit size of a standard tableau under promotion.
Mark D. Haiman, Dual equivalence with applications, including a conjecture of Proctor, Discrete Mathematics 99 (1992), 79-113.
Sage Documentation, Tableaux.
EXAMPLE
Triangle begins:
2,
2,2,
2,2,6,
2,6,6,12,
2,4,6,12,40,0,0,0,0,0,0,12,
...
CROSSREFS
KEYWORD
nonn,tabf,more
AUTHOR
Christian Stump, Oct 17 2015
STATUS
approved