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A243777 Number of Dyck paths of semilength n having exactly eight (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 A243777 #5 Jun 11 2014 22:17:55
%S A243777 1,0,0,0,0,3780,0,0,46,20,0,16356705,910111,0,1430,45077670,755820,
%T A243777 518221227,101454300,1479060,0,43816171893552,0,420732,54663267285,
%U A243777 583180547204,181720848039484,60770152697265,2020797438130380,52163677215449,31943272670595
%N A243777 Number of Dyck paths of semilength n having exactly eight (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 A243777 Alois P. Heinz, <a href="/A243777/b243777.txt">Table of n, a(n) for n = 10..200</a>
%e A243777 a(10) = 1: UUDUDUDUDUDUDUDUDUDD.
%Y A243777 Column k=8 of A243752.
%Y A243777 Main diagonal of A243834.
%K A243777 nonn
%O A243777 10,6
%A A243777 _Alois P. Heinz_, Jun 10 2014