A295693 Numbers that have exactly three representations as a sum of six positive squares.

30, 33, 38, 39, 46, 47, 48, 49, 50, 51, 52, 55, 59, 61, 67

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..15.

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: A095477 A095471 A095465 * A095992 A061842 A109226

Adjacent sequences: A295690 A295691 A295692 * A295694 A295695 A295696

Keyword

nonn,more

Author

Robert Price, Nov 25 2017

Status

approved