A263410 Triangle read by rows: T(n>=2, k>=0) is the number of standard tableaux of size n whose shape contains k inversions.

2, 4, 8, 2, 16, 10, 32, 34, 5, 5, 64, 98, 35, 35, 128, 258, 154, 168, 42, 0, 14

Offset

2,1

Comments

Row sums give A000085, n >= 2.

Links

Table of n, a(n) for n=2..22.

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

Example

Triangle begins:
2,
4,
8,2,
16,10,
32,34,5,5,
64,98,35,35,
128,258,154,168,42,0,14,
...

Crossrefs

Cf. A000085, A263412.

Sequence in context: A174660 A064897 A167203 * A344915 A285334 A086317

Adjacent sequences: A263407 A263408 A263409 * A263411 A263412 A263413

Keyword

nonn,tabf,more

Author

Christian Stump, Oct 17 2015

Status

approved