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A071768 Determinant of the n X n matrix whose element (i,j) equals |i-j| (Mod 3). +0
1
0, -1, 4, 9, -10, 4, 18, -19, 4, 27, -28, 4, 36, -37, 4, 45, -46, 4, 54, -55, 4, 63, -64, 4, 72, -73, 4, 81, -82, 4, 90, -91, 4, 99, -100, 4, 108, -109, 4, 117, -118, 4, 126, -127, 4, 135, -136, 4, 144, -145, 4, 153, -154, 4, 162, -163, 4, 171, -172, 4, 180, -181, 4, 189 (list; graph; listen)
OFFSET

1,3

COMMENT

(Mod 2) for n > 2 produces nothing but zeros.

a(3k) = 4, a(3k+1) = 9*k, a(3k+2) = -9*k-1.

MATHEMATICA

Table[ Det[ Table[ Mod[ Abs[i - j], 3], {i, 1, n}, {j, 1, n}]], {n, 1, 65}]

CROSSREFS

Adjacent sequences: A071765 A071766 A071767 this_sequence A071769 A071770 A071771

Sequence in context: A081949 A091657 A088037 this_sequence A020673 A062371 A046030

KEYWORD

sign

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 04 2002

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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