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Taxicab numbers (A001235) whose 4th power is the sum of two positive cubes in a nontrivial way.
2

%I #6 Mar 10 2017 21:24:48

%S 10202696,29791125,48137544,70957971,81621568,238329000,275472792,

%T 288975141,385100352,387352719,553514689,567663768,652972544,

%U 692612137,728274456,1051871977,1104726168,1275337000,1299713688,1402390152,1484204904,1906632000,2203782336,2311801128

%N Taxicab numbers (A001235) whose 4th power is the sum of two positive cubes in a nontrivial way.

%C If n = a^3 + b^3, then n^4 has a trivial decomposition as a sum of 2 cubes: n^4 = (an)^3 + (bn)^3.

%H Chai Wah Wu, <a href="/A282873/b282873.txt">Table of n, a(n) for n = 1..530</a>

%F A001235 INTERSECT A051387.

%Y Cf. A001235, A003325, A051387, A282872.

%K nonn

%O 1,1

%A _Chai Wah Wu_, Feb 24 2017