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A295804 Numbers that have exactly seven representations as a sum of seven positive squares. 0
55, 58, 63, 64, 74, 75, 80, 89 (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..8.

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, A295697.

Sequence in context: A345483 A345484 A101286 * A101285 A159024 A039356

Adjacent sequences:  A295801 A295802 A295803 * A295805 A295806 A295807

KEYWORD

nonn,more

AUTHOR

Robert Price, Nov 27 2017

STATUS

approved

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Last modified October 22 22:35 EDT 2021. Contains 348180 sequences. (Running on oeis4.)