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A245000 Number of standard Young tableaux with 2n cells and n as last value in the first row. 2
1, 1, 2, 10, 66, 596, 6620, 87000, 1324715, 22908742, 443117232, 9479624946, 222233111144, 5664313424130, 155929751451474, 4610317083986067, 145702128028870279, 4901223985261545846, 174836302846627038524, 6591979801098305644386, 261927409786051251544292 (list; graph; refs; listen; history; text; internal format)
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: A277493 A108205 A228938 * A108397 A049036 A208561

Adjacent sequences:  A244997 A244998 A244999 * A245001 A245002 A245003

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jul 09 2014

STATUS

approved

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Last modified September 26 15:27 EDT 2017. Contains 292531 sequences.