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A041339 Denominators of continued fraction convergents to sqrt(183). 2

%I #15 Sep 08 2022 08:44:54

%S 1,1,2,17,19,36,955,991,1946,16559,18505,35064,930169,965233,1895402,

%T 16128449,18023851,34152300,905983651,940135951,1846119602,

%U 15709092767,17555212369,33264305136,882427145905,915691451041,1798118596946,15300640226609

%N Denominators of continued fraction convergents to sqrt(183).

%H Vincenzo Librandi, <a href="/A041339/b041339.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,974,0,0,0,0,0,-1).

%F G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-18*x^3-1) / (x^12-974*x^6+1). - _Colin Barker_, Nov 15 2013

%F a(n) = 974*a(n-6) - a(n-12). - _Vincenzo Librandi_, Dec 16 2013

%t Denominator[Convergents[Sqrt[183], 30]] (* _Vincenzo Librandi_, Dec 16 2013 *)

%o (Magma) I:=[1,1,2,17,19,36,955,991,1946,16559,18505, 35064]; [n le 12 select I[n] else 974*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 16 2013

%Y Cf. A041338, A010226.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 15 2013

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