Number of Dyck paths of semilength n avoiding the consecutive step pattern UDUDU, where U=(1,1) and D=(1,-1).

A247333

Number of Dyck paths of semilength n avoiding the consecutive step pattern UDUDU, where U=(1,1) and D=(1,-1).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =4a(4) =11a(5) =31a(6) =92a(7) =283a(8) =893a(9) =2875a(10) =9407a(11) =31189a(12) =104555a(13) =353794a(14) =1206821a(15) =4145350a(16) =14326184a(17) =49778473a(18) =173794610a(19) =609392578a(20) =2145057797a(21) =7577098816a(22) =26850456704a(23) =95425761829a(24) =340047930692

External references