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Denominators of continued fraction convergents to sqrt(813).
2

%I #16 Dec 23 2015 13:58:34

%S 1,1,2,37,39,76,4295,4371,8666,160359,169025,329384,18614529,18943913,

%T 37558442,694995869,732554311,1427550180,80675364391,82102914571,

%U 162778278962,3012111935887,3174890214849,6187002150736,349647010656065,355834012806801

%N Denominators of continued fraction convergents to sqrt(813).

%H Vincenzo Librandi, <a href="/A042569/b042569.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 (0,0,0,0,0,4334,0,0,0,0,0,-1).

%F G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-38*x^3-1) / (x^12-4334*x^6+1). - _Colin Barker_, Dec 18 2013

%t Denominator[Convergents[Sqrt[813], 30]] (* _Vincenzo Librandi_, Jan 25 2014 *)

%t LinearRecurrence[{0,0,0,0,0,4334,0,0,0,0,0,-1},{1,1,2,37,39,76,4295,4371,8666,160359,169025,329384},30] (* _Harvey P. Dale_, Dec 23 2015 *)

%Y Cf. A042568, A040784.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 18 2013