Number of Dyck paths of semilength n avoiding the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).

A243870

Number of Dyck paths of semilength n avoiding the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =14a(5) =41a(6) =129a(7) =419a(8) =1395a(9) =4737a(10) =16338a(11) =57086a(12) =201642a(13) =718855a(14) =2583149a(15) =9346594a(16) =34023934a(17) =124519805a(18) =457889432a(19) =1690971387a(20) =6268769864a(21) =23320702586a(22) =87031840257a(23) =325741788736

External references