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

1,3

Links

Table of n, a(n) for n=1..41.

Mathematica

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

Prog

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

Crossrefs

Cf. A221643.

Sequence in context: A212115 A091625 A027601 * A057592 A246638 A192170

Adjacent sequences: A261805 A261806 A261807 * A261809 A261810 A261811

Keyword

nonn,base

Author

Alex Ratushnyak, Sep 01 2015

Status

approved