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%I #6 Apr 28 2014 19:02:10
%S 4,112,1615,15403,112106,672015,3477691,16037089,67235292,260887532,
%T 946435074,3246205986,10587385911,33085654876,99411959668,
%U 288773319190,812777159786,2225529375130,5937743304924,15483111029378,39503358108034,98849770060367,242801184657314
%N Number of ballot sequences of length n having exactly five descents.
%e a(9) = 4: [1,2,1,3,2,1,3,2,1], [1,2,1,3,2,1,4,2,1], [1,2,1,3,2,1,4,3,1], [1,2,1,3,2,1,4,3,2].
%Y Column k=5 of A238121 and of A238122.
%K nonn
%O 9,1
%A _Joerg Arndt_ and _Alois P. Heinz_, Apr 28 2014