A295805 Numbers that have exactly eight representations as a sum of seven positive squares.

61, 66, 72, 73, 76, 77, 84, 86, 92

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..9.

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, A295698.

Sequence in context: A260561 A346808 A345485 * A295157 A095575 A095563

Adjacent sequences: A295802 A295803 A295804 * A295806 A295807 A295808

Keyword

nonn,more

Author

Robert Price, Nov 27 2017

Status

approved