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 A086719 Numbers n == 1, 2, 5 or 6 (mod 8) such that there is only one solution to i^2+j^2+k^2=n, i >= j >= k >= 0. 1
 1, 2, 5, 6, 10, 13, 14, 21, 22, 30, 37, 42, 46, 58, 70, 78, 93, 133, 142, 190, 253 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS P. T. Bateman and E. Grosswald, Positive integers expressible as a sum of three squares in essentially only one way, J. Number Theory, 19 (1984), 301-308. MATHEMATICA aQ[n_] := MemberQ[{1, 2, 5, 6}, Mod[n, 8]] && Length[Solve[i^2+j^2+k^2==n && k>=0 && j>=k && i>=j, {i, j, k}, Integers]]==1; Select[Range[260], aQ] (* Amiram Eldar, Dec 04 2018 *) CROSSREFS Cf. A085616. Sequence in context: A047440 A255055 A007674 * A115200 A075823 A191748 Adjacent sequences:  A086716 A086717 A086718 * A086720 A086721 A086722 KEYWORD nonn,fini,full AUTHOR N. J. A. Sloane, Jul 31 2003 STATUS approved

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Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)