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

1,2

Comments

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

Links

Table of n, a(n) for n=1..22.

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

Example

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.

Crossrefs

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

Sequence in context: A011032 A174660 A064897 * A263410 A344915 A285334

Adjacent sequences: A167200 A167201 A167202 * A167204 A167205 A167206

Keyword

nonn,tabf,uned

Author

Alford Arnold, Nov 07 2009

Status

approved