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A042531 Denominators of continued fraction convergents to sqrt(794). 2

%I #22 Mar 19 2017 10:58:01

%S 1,5,6,11,17,28,45,73,118,191,1073,60279,302468,362747,665215,1027962,

%T 1693177,2721139,4414316,7135455,11549771,64884310,3645071131,

%U 18290239965,21935311096,40225551061,62160862157,102386413218,164547275375,266933688593

%N Denominators of continued fraction convergents to sqrt(794).

%H Vincenzo Librandi, <a href="/A042531/b042531.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^20 -5*x^19 +6*x^18 -11*x^17 +17*x^16 -28*x^15 +45*x^14 -73*x^13 +118*x^12 -191*x^11 +1073*x^10 +191*x^9 +118*x^8 +73*x^7 +45*x^6 +28*x^5 +17*x^4 +11*x^3 +6*x^2 +5*x +1) / (x^22 +60470*x^11 -1). - _Colin Barker_, Dec 17 2013

%F a(n) = 60470*a(n-11) + a(n-22)for n>21. - _Vincenzo Librandi_, Jan 23 2014

%t Denominator[Convergents[Sqrt[794], 30]] (* _Harvey P. Dale_, Aug 21 2011 *)

%Y Cf. A042530, A040765.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 17 2013

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Last modified June 11 04:57 EDT 2024. Contains 373289 sequences. (Running on oeis4.)