%I #17 Feb 16 2025 08:33:16
%S 0,280,637,1437,2937,4960,9580,18300,30081,57001,107821,176484,333384,
%T 629584,1029781,1944261,3670641,6003160,11333140,21395220,34990137,
%U 66055537,124701637,203938620,385001040,726815560,1188642541,2243951661,4236192681,6927917584
%N Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+479)^2 = y^2.
%H Vincenzo Librandi, <a href="/A207075/b207075.txt">Table of n, a(n) for n = 1..1000</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Diophantine_equation">Diophantine equation</a>
%H MathWorld, <a href="https://mathworld.wolfram.com/DiophantineEquation.html">Diophantine equation</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,6,-6,0,-1,1).
%F G.f.: x^2*(180*x^5 + 119*x^4 + 180*x^3 - 800*x^2 - 357*x - 280)/((x-1)*(x^6-6*x^3+1)). [_Colin Barker_, Aug 05 2012]
%t LinearRecurrence[ {1, 0, 6, -6, 0, -1, 1}, {0, 280, 637, 1437, 2937, 4960, 9580}, 50]
%Y Cf. A205672, A207058, A207059, A207060, A207061
%K nonn,easy,changed
%O 1,2
%A _Vladimir Joseph Stephan Orlovsky_, Feb 14 2012