A024796 Numbers expressible in more than one way as i^2 + j^2 + k^2, where 1 <= i <= j <= k.

27, 33, 38, 41, 51, 54, 57, 59, 62, 66, 69, 74, 75, 77, 81, 83, 86, 89, 90, 94, 98, 99, 101, 102, 105, 107, 108, 110, 113, 114, 117, 118, 121, 122, 123, 125, 126, 129, 131, 132, 134, 137, 138, 139, 141, 146, 147, 149, 150, 152, 153, 154, 155, 158, 161, 162, 164, 165, 166, 170

Offset

1,1

Comments

a(n) multiplied by (h^2)/(8*m*a^2) is the n-th energy level exhibiting accidental degeneracy, for a quantum mechanical particle of mass m in a cubic box of side length a (h is Planck's constant). - A. Timothy Royappa, Feb 12 2019

Links

Robert Price, Table of n, a(n) for n = 1..8057

Formula

{n: A025427(n) > 1 }. - R. J. Mathar, Aug 05 2022

Mathematica

okQ[n_]:= Length[Select[PowersRepresentations[n, 3, 2], !MemberQ[#, 0] &]] > 1; (* Jinyuan Wang, Feb 12 2019 *)

Crossrefs

Cf. A000408, A007692, A008917, A025322, A025323, A025324, A025325, A025326, A025327, A025328, A025329, A025330, A025331, A025332, A025333, A025334, A025335, A025336, A025337, A025338, A025367, A025427.

Sequence in context: A173136 A030134 A290842 * A025322 A151742 A304243

Adjacent sequences: A024793 A024794 A024795 * A024797 A024798 A024799

Keyword

nonn

Author

Clark Kimberling

Status

approved