Triangle T(n,k) gives the number of ordered partitions of an n set into k odd-sized blocks.

Terms

a(0) =1a(1) =0a(2) =2a(3) =1a(4) =0a(5) =6a(6) =0a(7) =8a(8) =0a(9) =24a(10) =1a(11) =0a(12) =60a(13) =0a(14) =120a(15) =0a(16) =32a(17) =0a(18) =480a(19) =0a(20) =720a(21) =1a(22) =0a(23) =546a(24) =0a(25) =4200a(26) =0a(27) =5040a(28) =0a(29) =128