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A218322 Maillet determinant for prime(n). 1
1, -5, 49, 14641, -371293, -410338673, 16983563041, 124279533640947, -82085029703668817512, 6812495416987166882889, -16890053810563300749953435929, -531714676529925182191868570093681, 98548851401030959947062957685234211, 4247541973383735863138308138153477847255, -62534081783371829558502906501683809565833328077, 1581923629964045589238110056212521488781448927448053161 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..17.

Wikipedia, Maillet's determinant

FORMULA

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

PROG

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

CROSSREFS

Cf. A055513, A203411, A000927, A088922.

Sequence in context: A251657 A084765 A203411 * A247707 A082795 A217398

Adjacent sequences:  A218319 A218320 A218321 * A218323 A218324 A218325

KEYWORD

sign

AUTHOR

Max Alekseyev, Oct 25 2012

STATUS

approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)