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Number of standard Young tableaux with 2n cells and largest value in row n.
1

%I #3 Sep 02 2014 07:56:02

%S 1,1,3,14,106,971,10616,123330,1557753,20543071,287087740,4168599808,

%T 63349129196,996257865899,16268585660692,273934662738565,

%U 4763228582494891,85139749375446911,1565168115090666500,29500470904432682460,570091884338189871500

%N Number of standard Young tableaux with 2n cells and largest value in row n.

%C Also the number of ballot sequences of length 2n having last value n.

%C Also the number of standard Young tableaux with 2n cells where the row containing the largest value has length n.

%C Also the number of ballot sequences of length 2n where the last value has multiplicity n.

%F a(n) = A238750(2n,n).

%Y Cf. A238750.

%K nonn

%O 0,3

%A _Joerg Arndt_ and _Alois P. Heinz_, Sep 02 2014