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A085511 Determinant of the n X n matrix whose element (i,j) equals sigma(|i-j|) where sigma(n) is the sum of divisors of n and sigma(0) = 0. 2
1, 0, -1, 6, 0, -96, 1856, -19866, 194701, -143840, -12421376, -2242688, 7161224400, -182262318208, 4419601227184, -105598371081024, 1963290383833664, -34552138617760368, 6240219707831587, 4597964531722783442, 255030441797039438464, -20656928385327220865224 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..21.

MAPLE

a:= n-> LinearAlgebra[Determinant](Matrix(n,

        (i, j)-> numtheory[sigma](abs(i-j)))):

seq(a(n), n=0..21);  # Alois P. Heinz, Jun 17 2021

PROG

(Sage)

def A085511(n) : return matrix([[0 if i==j else sigma(i-j) for j in range(n)] for i in range(n)]).determinant() # Eric M. Schmidt, May 04 2013

CROSSREFS

Cf. A071084, A000203.

Sequence in context: A145223 A219948 A072129 * A187525 A187696 A005212

Adjacent sequences:  A085508 A085509 A085510 * A085512 A085513 A085514

KEYWORD

sign

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 19 2003

EXTENSIONS

More terms from Eric M. Schmidt, May 04 2013

a(0)=1 prepended by Alois P. Heinz, Jun 17 2021

STATUS

approved

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)