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%I #11 May 22 2016 00:34:21
%S 2,4624776
%N Least number that is the sum of 2 positive cubes in exactly n ways and also the sum of 2 positive squares in exactly n ways.
%C 4624776 is the first term of A272701.
%C A011541(k) is not the sum of two nonzero squares for 2 <= k <= 6.
%C If it exists, what is the a(3)?
%e a(1) = 2 because 2 = 1^3 + 1^3 = 1^2 + 1^2.
%e a(2) = 4624776 because 4624776 = 51^3 + 165^3 = 72^3 + 162^3 = 1026^2 + 1890^2 = 1350^2 + 1674^2.
%Y Cf. A001235, A011541, A016032, A272701.
%K nonn,hard,less,more,bref
%O 1,1
%A _Altug Alkan_, May 20 2016
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