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%I #4 Oct 03 2013 09:37:42
%S 0,0,-1,0,1,0,-9,-8,0,0,0,0,0,0,0,-8,9,14,-71,-310,281,2000,-8004,
%T -9200,8836,720,-409,-2710,67766,110501,-1117396,-4130160,381136,
%U 91920,-111376,-36080,144420,555581,-311814,-1831958,1876689,-1648,-3584425,4768308,1971637204,53664688220
%N Determinant of n X n matrix defined by m(i,j) = 0 if i+j is a prime, m(i,j) = 1 otherwise.
%C Let h(i,j) be the matrix defined in A069191, then a(n)=((-1)^n)*Det(h(i,j)-J), where J is the n X n matrix with only 1's as its elements.
%t a[n_] := Det[Table[If[PrimeQ[i + j], 0, 1], {i, 1, n}, {j, 1, n}]] Table[a[n], {n, 1, 50}]
%Y Cf. A069191.
%K sign
%O 1,7
%A _Santi Spadaro_, May 26 2002