%I #11 May 24 2016 23:56:30

%S 216027,262656,515375,1092728,1331064,1533357,1728216,1845649,2101248,

%T 2515968,2562112,2622104,2864288,3511872,3551112,4033503,4123000,

%U 4511808,4607064,5004125,5462424,5832729,6017193,7091712,7882245,8491392,8493039,8494577,8741824

%N Taxi-cab numbers (A001235) that are the sum of three positive cubes.

%C A001235(158) = 10702783 = 7*13*337*349 is the least squarefree term of this sequence.

%H Chai Wah Wu, <a href="/A273219/b273219.txt">Table of n, a(n) for n = 1..16254</a>

%e 216027 is a term because 216027 = 3^3 + 60^3 = 22^3 + 59^3 = 11^3 + 42^3 + 52^3.

%e 262656 is a term because 262656 = 8^3 + 64^3 = 36^3 + 60^3 = 15^3 + 42^3 + 57^3.

%e 515375 is a term because 515375 = 15^3 + 80^3 = 54^3 + 71^3 = 30^3 + 62^3 + 63^3.

%Y Cf. A001235, A003072.

%K nonn

%O 1,1

%A _Altug Alkan_, May 18 2016