Number of Dyck paths of semilength n having exactly eight (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).

A243777

Number of Dyck paths of semilength n having exactly eight (possibly overlapping) occurrences of 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) =0a(4) =0a(5) =3780a(6) =0a(7) =0a(8) =46a(9) =20a(10) =0a(11) =16356705a(12) =910111a(13) =0a(14) =1430a(15) =45077670a(16) =755820a(17) =518221227a(18) =101454300a(19) =1479060a(20) =0a(22) =0a(23) =420732a(24) =54663267285a(25) =583180547204

External references