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A243775 Number of Dyck paths of semilength n having exactly six (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

%I A243775 #6 Jun 11 2014 22:13:37
%S A243775 64,0,1,1,0,58310,0,0,169352,82494,40040,163083704,140035157,306726,
%T A243775 178134488,7368664408,6899287752,86343111918,221762412480,89389210680,
%U A243775 45967495392,229706136771072,18828656,987116153856,88775675895264,303516229481536,10355664669739531
%N A243775 Number of Dyck paths of semilength n having exactly six (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).
%H A243775 Alois P. Heinz, <a href="/A243775/b243775.txt">Table of n, a(n) for n = 10..200</a>
%e A243775 a(12) = 1: UUDDUUDDUUDDUUDDUUDDUUDD.
%e A243775 a(13) = 1: UUDUUDUUDUUDUUDUUDUDDDDDDD.
%Y A243775 Column k=6 of A243752.
%Y A243775 Main diagonal of A243832.
%K A243775 nonn
%O A243775 10,1
%A A243775 _Alois P. Heinz_, Jun 10 2014