Number of Dyck paths of semilength n having exactly 3 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

A243415

Number of Dyck paths of semilength n having exactly 3 (possibly overlapping) occurrences of the consecutive steps UDUUDU (with U=(1,1), D=(1,-1)).

Terms

    a(0) =1a(1) =9a(2) =54a(3) =279a(4) =1334a(5) =6092a(6) =27048a(7) =117896a(8) =507173a(9) =2160151a(10) =9128266a(11) =38326830a(12) =160063712a(13) =665442560a(14) =2755685897a(15) =11372798741a(16) =46794914849a(17) =192029181971a(18) =786126469079

External references