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Determinant of the n X n matrix M_n(i,j) = C(i+j,i) (mod 3).
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%I #5 Mar 30 2012 18:39:10

%S 1,2,0,-2,2,0,-8,-16,0,16,-16,0,16,32,0,-32,-16,0,64,128,0,-512,2048,

%T 0,-8192,8192,0,-8192,8192,0,-8192,-16384,0,16384,8192,0,-8192,-16384,

%U 0,65536,-262144,0,1048576,-1048576,0,1048576,524288,0,-131072,131072,0,-32768,8192,0,-32768,-65536,0,262144

%N Determinant of the n X n matrix M_n(i,j) = C(i+j,i) (mod 3).

%F a(3k+2) = 0

%K sign

%O 0,2

%A _Benoit Cloitre_, Nov 25 2002