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A207058 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+263)^2 = y^2. 7

%I #14 Jun 18 2017 02:25:47

%S 0,145,364,789,1564,2805,5260,9765,16992,31297,57552,99673,183048,

%T 336073,581572,1067517,1959412,3390285,6222580,11420925,19760664,

%U 36268489,66566664,115174225,211388880,387979585,671285212,1232065317,2261311372,3912537573

%N Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+263)^2 = y^2.

%H Vincenzo Librandi, <a href="/A207058/b207058.txt">Table of n, a(n) for n = 1..1000</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*(95*x^5+73*x^4+95*x^3-425*x^2-219*x-145)/((x-1)*(x^6-6*x^3+1)). [_Colin Barker_, Aug 05 2012]

%t LinearRecurrence[ {1, 0, 6, -6, 0, -1, 1}, {0, 145, 364, 789, 1564, 2805, 5260}, 40]

%Y Cf. A204765, A205644, A205672

%K nonn,easy

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Feb 14 2012

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Last modified May 8 06:53 EDT 2024. Contains 372319 sequences. (Running on oeis4.)