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A295800
Numbers that have exactly three representations as a sum of seven positive squares.
0
31, 34, 39, 43, 47, 51, 56, 59, 68
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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
,
A295693
.
Sequence in context:
A095467
A095461
A179514
*
A338068
A036228
A299455
Adjacent sequences:
A295797
A295798
A295799
*
A295801
A295802
A295803
KEYWORD
nonn
,
more
AUTHOR
Robert Price
, Nov 27 2017
STATUS
approved