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Denominators of continued fraction convergents to sqrt(732).
2

%I #21 Jul 09 2025 02:44:57

%S 1,18,973,17532,947701,17076150,923059801,16632152568,899059298473,

%T 16199699525082,875682833652901,15778490705277300,852914180918627101,

%U 15368233747240565118,830737536531909143473,14968643891321605147632

%N Denominators of continued fraction convergents to sqrt(732).

%H Vincenzo Librandi, <a href="/A042409/b042409.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 974, 0, -1).

%F G.f.: -(x^2-18*x-1) / (x^4-974*x^2+1). - _Colin Barker_, Dec 11 2013

%t Denominator[Convergents[Sqrt[732], 30]] (* _Vincenzo Librandi_, Jan 21 2014 *)

%t LinearRecurrence[{0,974,0,-1},{1,18,973,17532},30] (* _Harvey P. Dale_, Jan 31 2014 *)

%Y Cf. A042408, A040704.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_