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Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.
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%I #27 Apr 11 2024 15:20:58

%S 0,25,36,205,252,273,328,705,748,861,988,1045,1968,2233,2352,2665,

%T 4836,5085,5740,6477,6808,12177,13720,14413,16236,28885,30336,34153,

%U 38448,40377,71668,80661,84700,95325,169048,177505,199752,224785,236028,418405,470820

%N Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+287)^2 = y^2.

%H Vincenzo Librandi, <a href="/A205644/b205644.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,6,-6,0,0,0,0,0,0,0,-1,1).

%F G.f.: x^2*(23*x^17 +9*x^16 +91*x^15 +17*x^14 +7*x^13 +17*x^12 +91*x^11 +9*x^10 +23*x^9 -113*x^8 -43*x^7 -377*x^6 -55*x^5 -21*x^4 -47*x^3 -169*x^2 -11*x -25)/((x -1)*(x^18 -6*x^9 +1)). - _Colin Barker_, Aug 05 2012

%t LinearRecurrence[ {1,0,0,0,0,0,0,0,6,-6,0,0,0,0,0,0,0,-1,1}, {0,25,36,205,252,273,328,705,748,861,988,1045,1968,2233,2352,2665,4836,5085,5740}, 70]

%Y Cf. A185394, A198294, A203619, A204765, A206426.

%K nonn,easy

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Feb 09 2012