A273530 - OEIS

A273530

Numbers n such that n is the sum of two nonzero squares in exactly one way, n+1 is the sum of a positive square and a positive cube in exactly one way and n+2 is the sum of 2 positive cubes in exactly one way.

%I #13 Jun 01 2016 16:33:57

%S 349,853,12634,42937,51741,59912,97677,169748,195137,199528,231892,

%T 269728,337768,343636,392272,403037,599561,920456,1458538,1521873,

%U 1645873,1894121,2337928,2388697,3131728,3159673,3186349,3731769,3835024,3890248,4037794

%N Numbers n such that n is the sum of two nonzero squares in exactly one way, n+1 is the sum of a positive square and a positive cube in exactly one way and n+2 is the sum of 2 positive cubes in exactly one way.

%e 349 is a term because 349 = 5^2 + 18^2, 350 = 15^2 + 5^3, 351 = 2^3 + 7^3.

%Y Cf. A003325, A025284, A078360.

%K nonn

%O 1,1

%A _Altug Alkan_, May 24 2016