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%I #5 Apr 28 2014 11:17:53
%S 1,2,9,29,108,399,1573,6249,25642,107751,466898,2071183,9429453,
%T 43889227,209111720,1017353435,5056450994,25627110560,132451351403,
%U 697165582228,3736595119730,20372395392794,112961465325799,636497947945382,3643481367551384
%N Number of standard Young tableaux with n cells and exactly three successions.
%C A succession is a pair of cells (v, v+1) lying in the same row.
%C Also number of ballot sequences having three flat steps.
%Y Column k=3 of A238125.
%K nonn
%O 4,2
%A _Joerg Arndt_ and _Alois P. Heinz_, Apr 28 2014
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