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Denominators of continued fraction convergents to sqrt(736).
2

%I #16 Jun 13 2015 00:49:45

%S 1,7,8,23,31,85,116,897,48554,340775,389329,1119433,1508762,4136957,

%T 5645719,43656990,2363123179,16585519243,18948642422,54482804087,

%U 73431446509,201345697105,274777143614,2124785702403,115013205073376,807217221216035

%N Denominators of continued fraction convergents to sqrt(736).

%H Vincenzo Librandi, <a href="/A042417/b042417.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 (0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^14 -7*x^13 +8*x^12 -23*x^11 +31*x^10 -85*x^9 +116*x^8 -897*x^7 -116*x^6 -85*x^5 -31*x^4 -23*x^3 -8*x^2 -7*x -1) / (x^16 -48670*x^8 +1). - _Colin Barker_, Dec 12 2013

%t Denominator[Convergents[Sqrt[736], 30]] (* _Vincenzo Librandi_, Jan 21 2014 *)

%Y Cf. A042416, A040708.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 12 2013