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A295699 Numbers that have exactly nine representations as a sum of six positive squares. 1
78, 99, 115 (list; graph; refs; listen; history; text; internal format)
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
Sequence in context: A045193 A214462 A352229 * A025387 A025378 A370206
KEYWORD
nonn,more
AUTHOR
Robert Price, Nov 25 2017
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)