%I #6 Apr 28 2014 19:03:45

%S 5,555,24060,595052,10131071,131722015,1394425753,12538397433,

%T 98654859370,694083988620,4440550793116,26165677158969,

%U 143525057166497,738895115800678,3596200018311737,16639581043371855,73574528888085621,312133508358624077,1275409396131467499

%N Number of ballot sequences of length n having exactly nine descents.

%e a(14) = 5: [1,2,1,3,2,1,4,3,2,1,4,3,2,1], [1,2,1,3,2,1,4,3,2,1,5,3,2,1], [1,2,1,3,2,1,4,3,2,1,5,4,2,1], [1,2,1,3,2,1,4,3,2,1,5,4,3,1], [1,2,1,3,2,1,4,3,2,1,5,4,3,2].

%Y Column k=9 of A238121 and of A238122.

%K nonn

%O 14,1

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