Number of Dyck paths of semilength n avoiding all five consecutive patterns of Dyck paths of semilength 3.

A243986

Number of Dyck paths of semilength n avoiding all five consecutive patterns of Dyck paths of semilength 3.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =0a(4) =1a(5) =1a(6) =4a(7) =11a(8) =29a(9) =81a(10) =220a(11) =608a(12) =1676a(13) =4633a(14) =12847a(15) =35685a(16) =99367a(17) =277256a(18) =775197a(19) =2171691a(20) =6095329a(21) =17138861a(22) =48274370a(23) =136197884a(24) =384868351a(25) =1089211676a(26) =3087038820a(27) =8761410780a(28) =24898994687a(29) =70850054269

External references