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Taxi-cab numbers (A001235) n such that n+1 is the sum of two positive cubes (A003325).
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%I #10 May 27 2016 12:41:43

%S 18426689288,20689194392,166940780112,3956149616328,53611112714103,

%T 562576374032408,11110701930362937,17146742033697471,

%U 24658089729767487,45512714439607464

%N Taxi-cab numbers (A001235) n such that n+1 is the sum of two positive cubes (A003325).

%C Numbers n such that n+1 and n can be written, respectively, in at least one and two ways as the sum of two positive cubes.

%e a(1) = 2514^3 + 1364^3 = 2498^3 + 1416^3, a(1)+1 = 2641^3 + 182^3.

%e a(2) = 2492^3 + 1734^3 = 2726^3 + 756^3, a(2)+1 = 2282^3 + 2065^3.

%Y Cf. A001235, A003325.

%K nonn

%O 1,1

%A _Zak Seidov_ and _Giovanni Resta_, May 27 2016