A238126 Number of standard Young tableaux with n cells and exactly one succession.

0, 0, 1, 1, 3, 8, 24, 70, 224, 744, 2588, 9317, 34924, 135297, 542123, 2236834, 9508297, 41511215, 186109781, 854874944, 4021672983, 19344343843, 95093249014, 477137036748, 2442413708120, 12742038926613, 67714763161526, 366266085720565, 2015454903261855

Offset: 0

Author

Joerg Arndt and Alois P. Heinz, Feb 21 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 one flat step.

Second column (k=1) of A238125.

Crossrefs

Cf. A237770 (no successions), A238127 (two successions).