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A295800 Numbers that have exactly three representations as a sum of seven positive squares. 0
31, 34, 39, 43, 47, 51, 56, 59, 68 (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

Table of n, a(n) for n=1..9.

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

Cf. A025431, A287166, A295693.

Sequence in context: A095467 A095461 A179514 * A036228 A299455 A225138

Adjacent sequences:  A295797 A295798 A295799 * A295801 A295802 A295803

KEYWORD

nonn,more

AUTHOR

Robert Price, Nov 27 2017

STATUS

approved

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Last modified February 26 18:29 EST 2020. Contains 332293 sequences. (Running on oeis4.)