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A295698 Numbers that have exactly eight representations as a sum of six positive squares. 1
87, 94, 96, 97, 98, 103, 109 (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..7.

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. A000177, A025430, A294524.

Sequence in context: A248026 A020216 A045125 * A095597 A095583 A323414

Adjacent sequences: A295695 A295696 A295697 * A295699 A295700 A295701

KEYWORD

nonn,more

AUTHOR

Robert Price, Nov 25 2017

STATUS

approved

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Last modified February 7 22:58 EST 2023. Contains 360132 sequences. (Running on oeis4.)