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

%I #11 Feb 06 2017 18:15:37

%S 1,1,2,10,66,596,6620,87000,1324715,22908742,443117232,9479624946,

%T 222233111144,5664313424130,155929751451474,4610317083986067,

%U 145702128028870279,4901223985261545846,174836302846627038524,6591979801098305644386,261927409786051251544292

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

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

%H Joerg Arndt and Alois P. Heinz, <a href="/A245000/b245000.txt">Table of n, a(n) for n = 0..25</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Young_tableau">Young tableau</a>

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

%e a(2) = 2:

%e [1 2] [1 2]

%e [3] [3 4]

%e [4]

%Y Cf. A238794.

%K nonn

%O 0,3

%A _Joerg Arndt_ and _Alois P. Heinz_, Jul 09 2014

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)