login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A295699 Numbers that have exactly nine representations as a sum of six positive squares. 1
78, 99, 115 (list; graph; refs; listen; history; text; internal format)
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..3.

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: A045193 A214462 A352229 * A025387 A025378 A157355

Adjacent sequences: A295696 A295697 A295698 * A295700 A295701 A295702

KEYWORD

nonn,more

AUTHOR

Robert Price, Nov 25 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 7 14:05 EST 2023. Contains 360123 sequences. (Running on oeis4.)