A123069 Odd positive integers that are not the sum of four positive squares.

1, 3, 5, 9, 11, 17, 29, 41

Offset

1,2

References

J. H. Conway, The Sensual (Quadratic) Form, M.A.A., 1997, p. 140.

L. E. Dickson, History of the Theory of Numbers. Carnegie Institute Public. 256, Washington, DC, Vol. 1, 1919; Vol. 2, 1920; Vol. 3, 1923, see vol. 2, p. 302.

Links

Table of n, a(n) for n=1..8.

Mathematica

sm4=Union[Total/@Tuples[Range[10]^2, 4]]; Select[Range[1, 100, 2], !MemberQ[sm4, #]&] (* James C. McMahon, Nov 15 2024 *)

Crossrefs

Odd terms of A000534.

Sequence in context: A094509 A120811 A340287 * A356537 A270836 A100456

Adjacent sequences: A123066 A123067 A123068 * A123070 A123071 A123072

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Sep 27 2006

Status

approved