Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) = (n!)^k * Sum_{i=1..n} 1/i^k.

Terms

a(0) =0a(1) =0a(2) =1a(3) =0a(4) =1a(5) =2a(6) =0a(7) =1a(8) =3a(9) =3a(10) =0a(11) =1a(12) =5a(13) =11a(14) =4a(15) =0a(16) =1a(17) =9a(18) =49a(19) =50a(20) =5a(21) =0a(22) =1a(23) =17a(24) =251a(25) =820a(26) =274a(27) =6a(28) =0a(29) =1