A295806 Numbers that have exactly nine representations as a sum of seven positive squares.

69, 78, 81

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..3.

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, A295699.

Sequence in context: A260428 A168477 A264045 * A210614 A235226 A015980

Adjacent sequences: A295803 A295804 A295805 * A295807 A295808 A295809

Keyword

nonn,more

Author

Robert Price, Nov 27 2017

Status

approved