A295801 Numbers that have exactly four representations as a sum of seven positive squares.

37, 40, 42, 46, 48, 49, 50, 52, 53, 62, 65

Offset: 1

Author

Robert Price, Nov 27 2017

Keywords

• nonn
• more

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

Cf. A025431, A287166, A295694.