Determinant of rank n matrix of 1..n^2 filled successively along antidiagonals.

Terms

a(0) =1a(1) =-2a(2) =-5a(3) =6a(4) =13a(5) =-12a(6) =-25a(7) =20a(8) =41a(9) =-30a(10) =-61a(11) =42a(12) =85a(13) =-56a(14) =-113a(15) =72a(16) =145a(17) =-90a(18) =-181a(19) =110a(20) =221a(21) =-132a(22) =-265a(23) =156a(24) =313a(25) =-182a(26) =-365a(27) =210a(28) =421a(29) =-240