Square array A(n, k) = Sum_{j=0..n} binomial(n,j)^k, n >= 0, k >= 0, read by antidiagonals.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =2a(5) =3a(6) =1a(7) =2a(8) =4a(9) =4a(10) =1a(11) =2a(12) =6a(13) =8a(14) =5a(15) =1a(16) =2a(17) =10a(18) =20a(19) =16a(20) =6a(21) =1a(22) =2a(23) =18a(24) =56a(25) =70a(26) =32a(27) =7a(28) =1a(29) =2