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A243778 Number of Dyck paths of semilength n having exactly nine (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 A243778 #5 Jun 11 2014 22:20:06
%S A243778 1,0,0,0,0,740,0,0,0,0,0,4655685,19546,0,0,1747955,0,20759960,167960,
%T A243778 110,0,17405076899616,0,0,261107026,11058883809,17817753939932,
%U A243778 2065690806135,180987639660985,533693067696,45880541850,2285677991937600,16275024211846481596
%N A243778 Number of Dyck paths of semilength n having exactly nine (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 A243778 Alois P. Heinz, <a href="/A243778/b243778.txt">Table of n, a(n) for n = 10..200</a>
%e A243778 a(10) = 1: UDUDUDUDUDUDUDUDUDUD.
%Y A243778 Column k=9 of A243752.
%Y A243778 Main diagonal of A243835.
%K A243778 nonn
%O A243778 10,6
%A A243778 _Alois P. Heinz_, Jun 10 2014