A295695 Numbers that have exactly five representations as a sum of six positive squares.

63, 66, 70, 73, 74, 79, 85, 91

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..8.

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: A296875 A346803 A263282 * A045271 A198294 A095601

Adjacent sequences: A295692 A295693 A295694 * A295696 A295697 A295698

Keyword

nonn,more

Author

Robert Price, Nov 25 2017

Status

approved