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%I #8 Jun 20 2013 10:13:18
%S -4,0,0,0,-64,0,256,1024,0,-4096,-12288,0,49152,131072,0,-524288,
%T -1310720,0,5242880,12582912,0,-50331648,-117440512,0,469762048,
%U 1073741824,0,-4294967296,-9663676416,0,38654705664,85899345920,0
%N Determinant of the matrix a(i,j) = 1 if Abs(i-j) <2 and -1 in the rest.
%F Empirical g.f.: -4*x^3*(8*x^3+4*x^2-2*x+1) / ((2*x+1)*(4*x^2-2*x+1)^2). - _Colin Barker_, Jun 20 2013
%e Det({ {1, 1, -1, -1, -1, -1, -1}, {1, 1, 1, -1, -1, -1, -1}, {-1, 1, 1, 1, -1, -1, -1}, {-1, -1, 1, 1, 1, -1, -1}, {-1, -1, -1, 1, 1, 1, -1}, {-1, -1, -1, -1, 1, 1, 1}, {-1, -1, -1, -1, -1, 1, 1} }=-64 => a(7)=-64
%K sign
%O 3,1
%A _José María Grau Ribas_, Mar 25 2010
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