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A263407
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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.
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0
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2, 2, 2, 2, 2, 6, 2, 6, 6, 12, 2, 4, 6, 12, 40, 0, 0, 0, 0, 0, 0, 12
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OFFSET
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2,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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Triangle begins:
2,
2,2,
2,2,6,
2,6,6,12,
2,4,6,12,40,0,0,0,0,0,0,12,
...
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CROSSREFS
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KEYWORD
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nonn,tabf,more
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AUTHOR
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STATUS
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approved
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