Square array read by antidiagonals: T(n,k) = Sum_{j = 0..n*k} binomial(n+j-1,j)*2^j; n,k >= 0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =17a(8) =7a(9) =1a(10) =1a(11) =111a(12) =129a(13) =15a(14) =1a(15) =1a(16) =769a(17) =2815a(18) =769a(19) =31a(20) =1a(21) =1a(22) =5503a(23) =65537a(24) =47103a(25) =4097a(26) =63a(27) =1a(28) =1a(29) =40193