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