Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n and having k low humps.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =1a(6) =8a(7) =8a(8) =5a(9) =1a(10) =36a(11) =28a(12) =18a(13) =7a(14) =1a(15) =164a(16) =120a(17) =68a(18) =32a(19) =9a(20) =1a(21) =764a(22) =552a(23) =292a(24) =136a(25) =50a(26) =11a(27) =1a(28) =3652a(29) =2616