OFFSET
1,10
COMMENTS
Row sums give A000085, n >= 2.
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).
LINKS
FindStat - Combinatorial Statistic Finder, The inversion number of a standard tableau as defined by Haglund and Stevens.
J. Haglund and L. Stevens, An extension of the Foata map to standard Young tableaux, Séminaire Lotharingien de Combinatoire 56 (2006), Article B56c.
EXAMPLE
Triangle begins:
1,1,
1,1,1,1,
1,1,2,3,4,4,4,3,2,1,1,
...
CROSSREFS
KEYWORD
nonn,tabf,more
AUTHOR
Christian Stump, Oct 17 2015
STATUS
approved