A215555 a(n) = binomial(11*n,n)*(9*n+1)/(10*n+1).

1, 10, 209, 4928, 122507, 3137706, 81921840, 2167714560, 57928578191, 1559830082888, 42254306265171, 1150225193717600, 31437550449182800, 862165662720962754, 23713320186494219820, 653855026849948319616, 18068367354658442882775, 500254126810079793897130

Offset: 0

Author

Alois P. Heinz, Aug 15 2012

Keywords

• nonn
• changed

Comments

Number of standard Young tableaux of shape [10n,n].

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..210
• Wikipedia, Young tableau.

Crossrefs

Column k=10 of A214776.

Programs

Maple

a:= n-> binomial(11*n,n)*(9*n+1)/(10*n+1):
seq(a(n), n=0..20);

Mathematica

Table[Binomial[11n,n] (9n+1)/(10n+1),{n,0,20}] (* Harvey P. Dale, Nov 21 2023 *)

Formula

a(n) = C(11*n,n)*(9*n+1)/(10*n+1).

a(n) ~ 9 * 11^(11*n+1/2) / (4^(5*n+1) * 5^(10*n+3/2) * (sqrt(Pi*n)). - Amiram Eldar, Aug 29 2025