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%I #11 Apr 13 2018 08:45:00
%S 0,1,4,0,16,625,0,0,64,81,10000,0,0,28561,0,0,256,83521,324,0,160000,
%T 0,0,0,0,244140625,456976,0,0,707281,0,0,1024,0,1336336,0,1296,
%U 1874161,0,0,2560000,2825761,0,0,0,4100625,0,0,0,2401,15625000000,0,7311616,7890481,0,0
%N If there is Gaussian integer z such that the norm of z is n, a(n) is the absolute value of Product_{the norm of z is n} z. Otherwise a(n) = 0.
%H Seiichi Manyama, <a href="/A302771/b302771.txt">Table of n, a(n) for n = 0..10000</a>
%F If A004018(n) > 0, a(n) = n^(A004018(n)/2). Otherwise a(n) = 0.
%e The Gaussian integers whose norm is 5;
%e * * -1+2i, 1+2i
%e * * -2+i, 2+i
%e -------------
%e * * -2-i, 2-i
%e * * -1-2i, 1-2i
%e a(5) = (2+i)*(2-i)*(1+2i)*(1-2i)*(-1+2i)*(-1-2i)*(-2+i)*(-2-i) = 625.
%Y Cf. A004018.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Apr 13 2018
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