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A263408
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Triangle read by rows: T(n>=1, k>=0) is the number of standard tableaux of size n and (Haglund and Stevens) inversion number k.
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0
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1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 1, 1
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OFFSET
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1,10
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COMMENTS
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The inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b).
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LINKS
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EXAMPLE
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Triangle begins:
1,1,
1,1,1,1,
1,1,2,3,4,4,4,3,2,1,1,
...
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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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