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A295693
Numbers that have exactly three representations as a sum of six positive squares.
1
30, 33, 38, 39, 46, 47, 48, 49, 50, 51, 52, 55, 59, 61, 67
OFFSET
1,1
COMMENTS
It appears that this sequence is finite and complete. See the von Eitzen link for a proof for the 5 positive squares case.
REFERENCES
E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.
LINKS
H. von Eitzen, in reply to user James47, What is the largest integer with only one representation as a sum of five nonzero squares? on stackexchange.com, May 2014
D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Robert Price, Nov 25 2017
STATUS
approved