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Largest number with exactly n representations as a sum of seven positive squares.
1

%I #6 Nov 28 2017 10:24:33

%S 20,44,38,68,65,60,83,89,92,81,107,99,116,110,108,90,131,128,140,134,

%T 132,125,155,143,127,164,158,148,149,144,163,179,167,151,176,185,172,

%U 188,173,203,180,177,174,195

%N Largest number with exactly n representations as a sum of seven positive squares.

%C It appears that a(44) does not exist.

%D E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.

%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. A025422, A025431, A295669, A295702.

%K nonn,more

%O 0,1

%A _Robert Price_, Nov 27 2017