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.

349, 853, 12634, 42937, 51741, 59912, 97677, 169748, 195137, 199528, 231892, 269728, 337768, 343636, 392272, 403037, 599561, 920456, 1458538, 1521873, 1645873, 1894121, 2337928, 2388697, 3131728, 3159673, 3186349, 3731769, 3835024, 3890248, 4037794

Offset: 1

Author

Altug Alkan, May 24 2016

Keywords

• nonn

Examples

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

Crossrefs

Cf. A003325, A025284, A078360.