A132644 - OEIS

%I #18 Jan 02 2024 08:53:46

%S 0,324,421200,546717924,709639444800,921111452633124,

%T 1195601955878350800,1551890417618646705924,2014352566467047545939200,

%U 2614628079383810095982376324,3393785232687619037537578530000

%N X-values of solutions to the equation X*(X + 1) - 13*Y^2 = 0.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1299,-1299,1).

%F a(n) = 1298*a(n-1) - a(n-2) + 648; a(0)=0, a(1)=324.

%F G.f.: -324*x*(x+1)/((x-1)*(x^2 - 1298*x + 1)). - _Colin Barker_, Oct 25 2012

%t CoefficientList[Series[-((324 x (1+x))/(-1+1299 x-1299 x^2+x^3)),{x,0,20}],x] (* or *) LinearRecurrence[{1299,-1299,1},{0,324,421200},20] (* _Harvey P. Dale_, Jul 24 2021 *)

%Y Cf. A007654.

%K nonn,easy

%O 0,2

%A _Mohamed Bouhamida_, Nov 14 2007

%E More terms from _Paolo P. Lava_, Oct 07 2008