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A206426 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+161)^2 = y^2. 7

%I #21 Apr 11 2024 15:56:41

%S 0,19,60,84,115,184,231,279,400,483,580,799,931,1104,1495,1764,2040,

%T 2739,3220,3783,5056,5824,6831,9108,10675,12283,16356,19159,22440,

%U 29859,34335,40204,53475,62608,71980,95719,112056,131179,174420,200508,234715,312064

%N Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+161)^2 = y^2.

%H Vincenzo Librandi, <a href="/A206426/b206426.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*(17*x^17 +27*x^16 +12*x^15 +13*x^14 +23*x^13 +13*x^12 +12*x^11 +27*x^10 +17*x^9 -83*x^8 -121*x^7 -48*x^6 -47*x^5 -69*x^4 -31*x^3 -24*x^2 -41*x -19)/((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}, {0,19,60,84,115,184,231,279,400,483,580,799,931,1104,1495,1764,2040,2739,3220}, 120]

%Y Cf. A129544, A129837, A129992.

%K nonn,easy

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Feb 07 2012

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Last modified May 4 16:30 EDT 2024. Contains 372256 sequences. (Running on oeis4.)