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

A243413

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

Terms

    a(0) =1a(1) =5a(2) =19a(3) =70a(4) =259a(5) =962a(6) =3585a(7) =13399a(8) =50201a(9) =188481a(10) =709001a(11) =2671624a(12) =10082895a(13) =38107919a(14) =144214978a(15) =546413880a(16) =2072553851a(17) =7869081412a(18) =29904874545a(19) =113744129791a(20) =432969825404

External references