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Number of Dyck paths of semilength n having exactly 5 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).
2

%I #4 Jun 04 2014 18:13:22

%S 1,13,109,748,4531,25228,132515,667747,3263146,15576803,72995158,

%T 336986263,1536565549,6933515253,31007787862,137599702886,

%U 606467289880,2656919897648,11577389890752,50204031478108,216750954307831,932068704988570,3993428974519241

%N Number of Dyck paths of semilength n having exactly 5 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

%H Alois P. Heinz, <a href="/A243417/b243417.txt">Table of n, a(n) for n = 12..550</a>

%Y Column k=5 of A243366.

%K nonn

%O 12,2

%A _Alois P. Heinz_, Jun 04 2014