A245000 Number of standard Young tableaux with 2n cells and n as last value in the first row.

1, 1, 2, 10, 66, 596, 6620, 87000, 1324715, 22908742, 443117232, 9479624946, 222233111144, 5664313424130, 155929751451474, 4610317083986067, 145702128028870279, 4901223985261545846, 174836302846627038524, 6591979801098305644386, 261927409786051251544292

Offset

0,3

Comments

Also the number of ballot sequences of length 2n where n is the position of the last occurrence of the minimal value.

Links

Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 0..25

Wikipedia, Young tableau

Formula

a(n) = A238794(2n,n).

Example

a(2) = 2:
[1 2]   [1 2]
[3]     [3 4]
[4]

Crossrefs

Cf. A238794.

Sequence in context: A346417 A108205 A228938 * A108397 A325995 A366178

Adjacent sequences: A244997 A244998 A244999 * A245001 A245002 A245003

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Jul 09 2014

Status

approved