Triangle read by rows: T(n,k) is the number of standard tableaux of shape (n,n,k) (0<=k<=n).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =5a(5) =5a(6) =5a(7) =21a(8) =42a(9) =42a(10) =14a(11) =84a(12) =252a(13) =462a(14) =462a(15) =42a(16) =330a(17) =1320a(18) =3432a(19) =6006a(20) =6006a(21) =132a(22) =1287a(23) =6435a(24) =21450a(25) =51480a(26) =87516a(27) =87516a(28) =429a(29) =5005