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Numbers that are the sum of 4 cubes in more than 1 way.
2

%I #14 Feb 02 2022 00:06:34

%S 81,126,128,216,217,219,224,243,251,252,259,278,280,315,341,343,344,

%T 345,352,371,376,378,405,408,432,434,467,469,496,522,540,559,560,567,

%U 584,593,594,648,687,702,728,729,730,737,756,758,763,765,783,793,802

%N Numbers that are the sum of 4 cubes in more than 1 way.

%D G. H. Hardy, Ramanujan, Cambridge Univ. Press, 1940, p. 12.

%D D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, 165.

%H T. D. Noe, <a href="/A001245/b001245.txt">Table of n, a(n) for n = 1..1000</a>

%t Transpose[Select[Table[{i,PowersRepresentations[i,4,3]}, {i,2000}], Length[#[[2]]]>1&]][[1]] (* _Harvey P. Dale_, Dec 11 2010 *)

%Y Cf. A001235, A004826.

%K nonn

%O 1,1

%A _N. J. A. Sloane_