A071081 Determinant of the n X n matrix whose element (i,j) equals the |i-j|-th composite number, or 0 if i=j.

0, -16, 192, -1904, 16416, -134608, 1102920, -8971103, 69262338, -527129920, 4002967800, -30263030000, 218133853800, -1565386817920, 11130108480678, -75244171093875, 496516351214832, -3261752198331472, 21401161780748720, -140093238345715827

Offset

1,2

Links

Table of n, a(n) for n=1..20.

Mathematica

Composite[n_Integer] := FixedPoint[n + PrimePi[ # ] + 1 &, n + PrimePi[n] + 1]; f[n_] := Det[ Table[ If[i == j, 0, Composite[ Abs[i - j]]], {i, 1, n}, {j, 1, n}]]; Table[ f[n], {n, 1, 20}]

Crossrefs

Sequence in context: A317008 A365934 A316873 * A317601 A000767 A053539

Adjacent sequences: A071078 A071079 A071080 * A071082 A071083 A071084

Keyword

sign

Author

Robert G. Wilson v, May 26 2002

Status

approved