A049400 Partial sums of rows of A047884. Young Tableaux by height.

1, 1, 2, 1, 3, 4, 1, 6, 9, 10, 1, 10, 21, 25, 26, 1, 20, 51, 70, 75, 76, 1, 35, 127, 196, 225, 231, 232, 1, 70, 323, 588, 715, 756, 763, 764, 1, 126, 835, 1764, 2347, 2556, 2611, 2619, 2620, 1, 252, 2188, 5544, 7990, 9096, 9415, 9486, 9495, 9496, 1, 462, 5798, 17424, 27908, 33231, 35135, 35596