A066917 Determinant of n X n matrix whose rows are cyclic permutations of 4..Composite(n).

4, -20, -216, 2025, 24457, -661745, -21930489, 485222400, 12094491106, -594800640896, -32850150466188, 1138086428486400, 42791463719713975, -3042278237035388153, -123027745203325414816, 5708406518410582200000, 275201338468042020170179

Offset: 1

Author

Robert G. Wilson v, Jan 24 2002

Keywords

• easy
• sign

Examples

			a(3) = -216 because this is the determinant of [ (4,6,8), (6,8,4), (8,4,6) ]
		

Crossrefs

Cf. A052182, A002808.

Programs

Mathematica

Composite[ n_Integer ] := FixedPoint[ n + PrimePi[ # ] + 1 &, n + PrimePi[ n ] + 1 ]; f[ n_ ] := Module[ {a = Table[ Composite[ i ], {i, 1, n} ], m = {}, k = 0}, While[ k < n, m = Append[ m, RotateLeft[ a, k ] ]; k++ ]; Det[ m ] ]; Table[ f[ n ], {n, 1, 16} ]