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

0,2

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

Formula

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

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 *)

Crossrefs

Column k=10 of A214776.

Sequence in context: A368441 A211107 A335673 * A069863 A160476 A067642

Adjacent sequences: A215552 A215553 A215554 * A215556 A215557 A215558

Keyword

nonn

Author

Alois P. Heinz, Aug 15 2012

Status

approved