Square array, read by antidiagonals, where T(n,k) = binomial(2^k + n-1, k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =1a(7) =3a(8) =6a(9) =35a(10) =1a(11) =4a(12) =10a(13) =56a(14) =1365a(15) =1a(16) =5a(17) =15a(18) =84a(19) =1820a(20) =169911a(21) =1a(22) =6a(23) =21a(24) =120a(25) =2380a(26) =201376a(27) =67945521a(28) =1a(29) =7