Number of Dyck paths of semilength n having exactly three (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).

A243772

Number of Dyck paths of semilength n having exactly three (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).

Terms

    a(0) =4a(1) =5a(2) =35a(3) =0a(4) =280a(5) =1991a(6) =4115a(7) =34840a(8) =96286a(9) =309036a(10) =1045200a(11) =193240a(12) =5159120a(13) =40653929a(14) =105545340a(15) =603157520a(16) =2582073261a(17) =11015773404a(18) =26828044860a(19) =182118031760a(20) =726122370210

External references