A119508 Determinant of n X n matrix of first n^2 terms of Euler totient function phi (A000010).

1, 0, -16, 80, -4640, -1696, -47290368, 778240, -1252408320, 827269120, -1883587535170560, -167527809024, -660985839681085440, -66300178824585216, -1744375183677849600, 29157688117836220727296, 5544673967679230591621398528, -134078707495836661579776

Offset: 1

Author

Jonathan Vos Post, May 27 2006

Keywords

• easy
• sign

Examples

			a(2) = 0 because of the singular matrix 0 =
|1 1|
|2 2|.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..250

Crossrefs

Cf. A000010, A119493.

Programs

Mathematica

nmax = 20; Table[Det[Table[EulerPhi[k*(i-1) + j], {i, 1, k}, {j, 1, k}]], {k, 1, nmax}] (* Vaclav Kotesovec, Feb 24 2019 *)
Table[Det[Partition[EulerPhi[Range[n^2]],n]],{n,20}] (* Harvey P. Dale, Jul 28 2021 *)

Extensions

More terms from Vaclav Kotesovec, Feb 24 2019