A167203 Number of Young tableaux with n cells and k inversions.

1, 2, 4, 8, 2, 16, 10, 32, 34, 5, 5, 64, 98, 35, 35, 128, 258, 154, 154, 14, 42, 14

Offset: 1

Author

Alford Arnold, Nov 07 2009

Keywords

• nonn
• tabf
• uned

Comments

The sequence of rowsums is A000085, and the sequence of number of terms in each row is A002865.

Examples

			The irregular triangle begins
..1
..2
..4
..8...2
.16..10
.32..34...5...5
.64..98..35..35
128.258.154.154..14..42..14
etc.
		

Links

• FindStat - Combinatorial Statistic Finder, The number of inversions of a tableau

Crossrefs

Cf. A000041, A002865, A000079 (rowsum of A007318), A036799 (rowsum of A059797), A117506.