A219329 Numbers that can be expressed as the sum of three nonnegative cubes in three ways.

5104, 5832, 9288, 9729, 10261, 10773, 12104, 12221, 12384, 14175, 17604, 17928, 19034, 20691, 21412, 21888, 24416, 24480, 28792, 29457, 30528, 31221, 32850, 34497, 35216, 36288, 38259, 39339, 39376, 39528, 40060, 40097, 40832, 40851, 41033, 41040, 41364

Offset: 1

Author

Kevin L. Schwartz and Christian N. K. Anderson, Apr 11 2013

Keywords

• nonn

Comments

Index of A051343 = 9, superset of index of A025456 = 3.

Subset of A001239.

Examples

			a(1) = 5104 = 1^3+12^3+15^3 = 2^3+10^3+16^3 = 9^3+10^3+15^3.
		

Links

• Christian N. K. Anderson, Table of n, a(n) for n = 1..10000
• Christian N. K. Anderson, Decomposition of the first 10000 terms into 3 sets of cube triples
• Sequences related to sums of squares and cubes

Crossrefs

Other sums of cubes: A025402, A025398, A024974, A001239, A008917.

Cf. A025456, A051343.

Cf. A025396.

Programs

Mathematica

Select[Range[42000],Length[PowersRepresentations[#,3,3]]==3&] (* Harvey P. Dale, Sep 28 2016 *)