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%I #3 Apr 28 2014 11:32:39
%S 1,4,28,137,751,3797,19868,103169,544446,2892654,15609326,85185225,
%T 471914661,2647616529,15072126865,86928421109,508477806633,
%U 3013152898489,18098553323837,110098999926894,678500886312946,4233264326440478,26741870913391272
%N Number of standard Young tableaux with n cells and exactly seven successions.
%C A succession is a pair of cells (v, v+1) lying in the same row.
%C Also number of ballot sequences having seven flat steps.
%Y Column k=7 of A238125.
%K nonn
%O 8,2
%A _Joerg Arndt_ and _Alois P. Heinz_, Apr 28 2014