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

1,3

Links

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

Example

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

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 *)

Crossrefs

Cf. A000010, A119493.

Sequence in context: A069840 A000817 A192510 * A330480 A334660 A088379

Adjacent sequences: A119505 A119506 A119507 * A119509 A119510 A119511

Keyword

easy,sign

Author

Jonathan Vos Post, May 27 2006

Extensions

More terms from Vaclav Kotesovec, Feb 24 2019

Status

approved