A295697 Numbers that have exactly seven representations as a sum of six positive squares.

60, 65, 68, 69, 77, 90, 112

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: A114559 A175102 A344811 * A138690 A118155 A066722

Adjacent sequences: A295694 A295695 A295696 * A295698 A295699 A295700

Keyword

nonn,more

Author

Robert Price, Nov 25 2017

Status

approved