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%I #4 May 20 2017 21:49:30
%S 8,23,35,32,46,58,72,56,62,70,71,79,80,83,88,89,91,86,103,94,109,104,
%T 107,112,113,110,122,119,126,121,118,144,0,128,131,136,137,153,143,
%U 139,149,134,0,0,142,152,164,154
%N Smallest number with exactly n representations as a sum of 8 nonzero squares or 0 if no such number exists.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SquareNumber.html">Square Number</a>
%H <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%F A025432(a(n)) = n for a(n) > 0.
%e a(1) = 8 because 8 is the smallest number with exactly 1 representation as a sum of 8 nonzero squares: 8 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2;
%e a(2) = 23 because 23 is the smallest number with exactly 2 representations as a sum of 8 nonzero squares: 23 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 4^2 = 1^2 + 1^2 + 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 2^2, etc.
%Y Cf. A016032, A025414, A025416, A025432, A080654, A287165, A287166.
%K nonn
%O 1,1
%A _Ilya Gutkovskiy_, May 20 2017
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