A218322 Maillet determinant for prime(n).

1, -5, 49, 14641, -371293, -410338673, 16983563041, 124279533640947, -82085029703668817512, 6812495416987166882889, -16890053810563300749953435929, -531714676529925182191868570093681, 98548851401030959947062957685234211, 4247541973383735863138308138153477847255, -62534081783371829558502906501683809565833328077, 1581923629964045589238110056212521488781448927448053161

Offset: 2

Author

Max Alekseyev, Oct 25 2012

Keywords

• sign

Links

• Wikipedia, Maillet's determinant

Crossrefs

Cf. A055513, A203411, A000927, A088922.

Programs

PARI

a(n) = p=prime(n); matdet(matrix((p-1)/2,(p-1)/2,i,j,(i/j)%p))

Formula

a(n) = (-p)^((p-3)/2) * h^-(p) = (-1)^((p-3)/2) * A203411(n) * A000927(n), where p=A000040(n).