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A241774
Number of standard Young tableaux with n cells and exactly three successions.
1
1, 2, 9, 29, 108, 399, 1573, 6249, 25642, 107751, 466898, 2071183, 9429453, 43889227, 209111720, 1017353435, 5056450994, 25627110560, 132451351403, 697165582228, 3736595119730, 20372395392794, 112961465325799, 636497947945382, 3643481367551384
OFFSET
4,2
COMMENTS
A succession is a pair of cells (v, v+1) lying in the same row.
Also number of ballot sequences having three flat steps.
CROSSREFS
Column k=3 of A238125.
Sequence in context: A181545 A069006 A351191 * A183383 A280853 A360812
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Apr 28 2014
STATUS
approved