Array read by antidiagonals: A(k,n) = C(n^k, n).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =6a(9) =1a(10) =1a(11) =1a(12) =28a(13) =84a(14) =1a(15) =1a(16) =1a(17) =120a(18) =2925a(19) =1820a(20) =1a(21) =1a(22) =1a(23) =496a(24) =85320a(25) =635376a(26) =53130a(27) =1a(28) =1a(29) =1