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Number of standard Young tableaux with 2n cells where n is the largest value in the last row.
1

%I #3 Sep 04 2014 02:44:13

%S 1,0,1,4,32,277,3179,41799,632365,10922385,210953381,4498975425,

%T 105131807571,2672061475343,73358721633794,2163013965362752,

%U 68174082537113173,2287395123402364673,81397403660409278779,3061825168335759481187,121385088042529743488517,5058460899905730365609710

%N Number of standard Young tableaux with 2n cells where n is the largest value in the last row.

%C Also the number of ballot sequences of length 2n having the last occurrence of the maximal value at position n.

%F a(n) = A238727(2n,n).

%Y Cf. A238727.

%K nonn

%O 0,4

%A _Joerg Arndt_ and _Alois P. Heinz_, Sep 04 2014