A261808 Numbers n such that n^2 XOR n^3 is a square, where XOR is the bitwise XOR operator.

0, 1, 5, 8, 17, 37, 48, 65, 257, 288, 1025, 1088, 2305, 4097, 4224, 4357, 9217, 12320, 16385, 16640, 20737, 25920, 36865, 50624, 65537, 66048, 147457, 229440, 262145, 263168, 264197, 295937, 589825, 1048577, 1050624, 1052677, 2166785, 2359297, 4194305, 4198400, 4202501

Offset: 1

Author

Alex Ratushnyak, Sep 01 2015

Keywords

• nonn
• base

Crossrefs

Cf. A221643.

Programs

Mathematica

Select[Range[0, 100000], IntegerQ@ Sqrt@ BitXor[#^2, #^3] &] (* Michael De Vlieger, Sep 01 2015 *)

PARI

is(n)=issquare(bitxor(n^2,n^3)) \\ Anders Hellström, Sep 01 2015