A011553 Number of standard Young tableaux of type (n,n,n) whose (2,1) entry is odd.

0, 2, 16, 182, 2400, 35310, 562848, 9540674, 169777504, 3142665968, 60099912320, 1181283863632, 23767586624960, 487947659276790, 10195163202404160, 216335108170636650, 4653803620322450880, 101343766487960918460, 2231268469684932939360, 49614581272087698764820

Offset

1,2

References

For definition see James and Kerber, Representation Theory of Symmetric Group, Addison-Wesley, 1981, p. 107.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..200

Index entries for sequences related to Young tableaux.

Formula

a(n) ~ 3^(3*n+7/2) / (64*Pi*n^4). - Vaclav Kotesovec, Sep 06 2014

Conjecture D-finite with recurrence 6*(n+2)*(n+1)^2*a(n) -(n+1)*(164*n^2-179*n+51) *a(n-1) +(46*n^3-609*n^2+812*n+12) *a(n-2) +12*(3*n-4) *(2*n-5) *(3*n-5)*a(n-3)=0. - R. J. Mathar, Nov 22 2023

Example

a(2) = 2 because the standard Young tableaux of type (2,2,2) whose (2,1) entry is odd are:
+---+   +---+
|1 2|   |1 2|
|3 5|   |3 4|
|4 6|   |5 6|
+---+   +---+  - Alois P. Heinz, Feb 28 2012

Crossrefs

Cf. A123555.

Sequence in context: A371669 A363311 A052606 * A291816 A123898 A118644

Adjacent sequences: A011550 A011551 A011552 * A011554 A011555 A011556

Keyword

nonn

Author

giambruno(AT)ipamat.math.unipa.it

Extensions

Definition corrected by Amitai Regev (amitai.regev(AT)weizmann.ac.il), Nov 15 2006

More terms and offset corrected by Alois P. Heinz, Feb 28 2012

Status

approved