A180972 Numbers n such that 8^9 + n^2 is a square.

4096, 14336, 31744, 65024, 130816, 262016, 524224, 1048544, 2097136, 4194296, 8388604, 16777214, 33554431

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Mathematica

Module[{x, y}, x /. List@ToRules@Reduce[8^9 + x^2 == y^2 && y > x > 0, Integers]] (* Giovanni Resta, Jan 29 2013 *)
x/.Solve[{8^9+x^2==y^2, x>0, y>0}, {x, y}, Integers] (* Harvey P. Dale, Mar 16 2019 *)

Prog

(Magma) [n: n in [0..2^25] | IsSquare(8^9+n^2)]; // Vincenzo Librandi, Jan 29 2013
(PARI) is(n)=issquare(8^9+n^2) \\ Charles R Greathouse IV, Jan 29 2013

Crossrefs

Sequence in context: A043424 A138174 A258735 * A255665 A223334 A231945

Adjacent sequences: A180969 A180970 A180971 * A180973 A180974 A180975

Keyword

nonn,easy,fini,full

Author

Jason Earls, Sep 30 2010

Status

approved