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A295799 Numbers that have exactly two representations as a sum of seven positive squares. 0
22, 25, 28, 30, 33, 38 (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..6.

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, A295692.

Sequence in context: A254753 A070809 A280646 * A322124 A178423 A108632

Adjacent sequences:  A295796 A295797 A295798 * A295800 A295801 A295802

KEYWORD

nonn,more

AUTHOR

Robert Price, Nov 27 2017

STATUS

approved

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Last modified November 22 16:31 EST 2019. Contains 329396 sequences. (Running on oeis4.)