login
Determinant of the n X n matrix whose element (i,j) equals phi(|i-j|).
6

%I #8 Jun 27 2024 01:37:46

%S 0,-1,2,-4,6,-5,-84,245,924,-8816,-78556,-58667,6779732,10484275,

%T -363899598,-6434306752,-13046891490,20608641823,1894093427008,

%U -6177545952015,18227184915788,-46023445768832,-8765268354146700,-1210879926442292743,-149657142827643535248

%N Determinant of the n X n matrix whose element (i,j) equals phi(|i-j|).

%t f[n_] := Det[ Table[ EulerPhi[ Abs[i - j]], {i, 1, n}, {j, 1, n}]]; Table[ f[n], {n, 1, 22}]

%Y Cf. A071078, A071079, A071082.

%K sign

%O 1,3

%A _Robert G. Wilson v_, May 26 2002

%E More terms from _Sean A. Irvine_, Jun 27 2024