The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.



(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A295158 Numbers that have exactly ten representations as a sum of five nonnegative squares. 0
74, 93, 97, 111 (list; graph; refs; listen; history; text; internal format)



This sequence is finite and complete. See the von Eitzen Link. For positive integer n, if n > 7845 then the number of ways to write n as a sum of 5 squares is at least 11. So for n > 7845, there are more than nine ways to write n as a sum of 5 squares. For n <= 7845, it has been verified if n is in the sequence by inspection. Hence the sequence is complete.


E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1.


Table of n, a(n) for n=1..4.

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.


Cf. A000174, A006431, A294675.

Sequence in context: A305265 A055111 A020203 * A039484 A098516 A209925

Adjacent sequences:  A295155 A295156 A295157 * A295159 A295160 A295161




Robert Price, Nov 15 2017



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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 10:30 EDT 2021. Contains 343112 sequences. (Running on oeis4.)