%I #5 Jun 22 2014 10:02:43
%S 1,6,31,133,586,2453,10357,43462,183519,776632,3314263,14236474,
%T 61673638,269354538,1186290977,5269574378,23605973532,106655907009,
%U 485864276503,2231922870273,10334732098172,48242171467087,226930634774929,1075778352040282,5137573709818840
%N Number of ballot sequences of length n having largest descent 3.
%C Also number of ballot sequences of length n having largest ascent 3.
%Y Column k=3 of A238128 and of A238129.
%K nonn
%O 5,2
%A _Joerg Arndt_ and _Alois P. Heinz_, Jun 22 2014