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

4,2

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.

Links

Table of n, a(n) for n=4..28.

Crossrefs

Column k=3 of A238125.

Sequence in context: A181545 A069006 A351191 * A183383 A280853 A360812

Adjacent sequences: A241771 A241772 A241773 * A241775 A241776 A241777

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Apr 28 2014

Status

approved