A241774 Number of standard Young tableaux with n cells and exactly three successions.

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

Author

Joerg Arndt and Alois P. Heinz, Apr 28 2014

Keywords

• nonn

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.