A204765 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+239)^2 = y^2.

0, 217, 220, 717, 1900, 1917, 4780, 11661, 11760, 28441, 68544, 69121, 166344, 400081, 403444, 970101, 2332420, 2352021, 5654740, 13594917, 13709160, 32958817, 79237560, 79903417, 192098640, 461830921, 465711820, 1119633501, 2691748444, 2714367981

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,6,-6,0,-1,1).

Formula

G.f.: x^2*(119*x^5+x^4+119*x^3-497*x^2-3*x-217)/((x-1)*(x^6-6*x^3+1)). [Colin Barker, Aug 05 2012]

Mathematica

LinearRecurrence[{1, 0, 6, -6, 0, -1, 1}, {0, 217, 220, 717, 1900, 1917, 4780}, 70]

Crossrefs

Cf. A185394, A198294, A203619, A206426

Sequence in context: A325945 A038661 A044877 * A289302 A288847 A102658

Adjacent sequences: A204762 A204763 A204764 * A204766 A204767 A204768

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 09 2012

Status

approved