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 A263407 Triangle read by rows: T(n,k) (n>=2, k>=1) is the number of standard tableaux of size n and having k standard tableau in its orbit under promotion. 0
 2, 2, 2, 2, 2, 6, 2, 6, 6, 12, 2, 4, 6, 12, 40, 0, 0, 0, 0, 0, 0, 12 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A000085. Sequence in context: A278247 A160762 A112968 * A221838 A343122 A338869 Adjacent sequences:  A263404 A263405 A263406 * A263408 A263409 A263410 KEYWORD nonn,tabf,more AUTHOR Christian Stump, Oct 17 2015 STATUS approved

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Last modified July 24 05:05 EDT 2021. Contains 346273 sequences. (Running on oeis4.)