%I #8 Sep 28 2013 03:20:11

%S -1,9,441,893025,3406183992225,47917474281481550923130625,

%T 9330699003355695519378770695858918148510783562890625

%N H(2^n) with H(n) the Hankel transform of A007814.

%C Determinant of the 2^n x 2^n matrix M, where M(i,j) = exponent of 2 in the factorization of i+j-1 = A007814(i+j-1), i,j>0.

%F a(0) = -1, a(n) = A144621(n)^2.

%o (PARI) hankel(v,n)=matdet(matrix(n,n,i,j,v[i+j-1]));

%o a(n)=hankel(vector(2*2^n,k,valuation(k,2)),2^n);

%K sign

%O 1,2

%A _Ralf Stephan_, Sep 27 2013