Square array T(n,k) = (n^k - (-1)^k)/(n+1), n >= 0, k >= 0, read by falling antidiagonals.

Terms

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