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%I #10 Dec 03 2017 00:42:29
%S 55,58,63,64,74,75,80,89
%N Numbers that have exactly seven representations as a sum of seven positive squares.
%C It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.
%D E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.
%H H. von Eitzen, in reply to user James47, <a href="http://math.stackexchange.com/questions/811824/what-is-the-largest-integer-with-only-one-representation-as-a-sum-of-five-nonzer">What is the largest integer with only one representation as a sum of five nonzero squares?</a> on stackexchange.com, May 2014
%H D. H. Lehmer, <a href="http://www.jstor.org/stable/2305380">On the Partition of Numbers into Squares</a>, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.
%Y Cf. A025431, A287166, A295697.
%K nonn,more
%O 1,1
%A _Robert Price_, Nov 27 2017