Number of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

A243754

Number of Dyck paths of semilength n avoiding the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

Terms

    a(0) =1a(1) =0a(2) =0a(3) =1a(4) =1a(5) =9a(6) =1a(7) =127a(8) =323a(9) =1515a(10) =4191a(11) =10455a(12) =20705a(13) =93802a(14) =113634a(15) =3219205a(16) =10626023a(17) =45980364a(18) =139604903a(19) =555857157a(20) =1334821448a(21) =7577098816a(22) =20676558270a(23) =61994003643a(24) =193904367362a(25) =800928670232

External references