Irregular triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with floor((n+2)/2) up movements in odd numbered positions and k returns to the x axis.

A289352

Irregular triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with floor((n+2)/2) up movements in odd numbered positions and k returns to the x axis.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =1a(6) =2a(7) =3a(8) =6a(9) =8a(10) =6a(11) =10a(12) =15a(13) =15a(14) =10a(15) =50a(16) =60a(17) =45a(18) =20a(19) =105a(20) =140a(21) =126a(22) =84a(23) =35a(24) =490a(25) =560a(26) =420a(27) =224a(28) =70a(29) =1176

External references