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Number of standard Young tableaux with n cells and exactly four successions.
1

%I #3 Apr 28 2014 11:19:13

%S 1,3,13,49,201,802,3343,14368,62909,282989,1299074,6111610,29330177,

%T 143869556,719339872,3669604633,19062972671,100880716332,543086732800,

%U 2974442015323,16556687511535,93655725178808,537951557765438,3137040309057826,18560431188723607

%N Number of standard Young tableaux with n cells and exactly four successions.

%C A succession is a pair of cells (v, v+1) lying in the same row.

%C Also number of ballot sequences having four flat steps.

%Y Column k=4 of A238125.

%K nonn

%O 5,2

%A _Joerg Arndt_ and _Alois P. Heinz_, Apr 28 2014