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 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)
 OFFSET 1,1 COMMENTS 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. REFERENCES E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1. LINKS 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. A000174, A006431, A294675. Sequence in context: A305265 A055111 A020203 * A039484 A098516 A209925 Adjacent sequences:  A295155 A295156 A295157 * A295159 A295160 A295161 KEYWORD nonn,fini,full AUTHOR Robert Price, Nov 15 2017 STATUS approved

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