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%I #27 Oct 03 2021 07:58:23
%S 1,2,3,29,32,93,1892,3877,5769,55798,61567,178932,3640207,7459346,
%T 11099553,107355323,118454876,344265075,7003756376,14351777827,
%U 21355534203,206551585654,227907119857,662365825368
%N Denominators of continued fraction convergents to sqrt(107).
%H Vincenzo Librandi, <a href="/A041193/b041193.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1924,0,0,0,0,0,-1).
%F a(n) = 1924*a(n-6)-a(n-12). G.f.: -(x^10-2*x^9+3*x^8-29*x^7+32*x^6 -93*x^5 -32*x^4-29*x^3-3*x^2-2*x-1) / (x^12-1924*x^6+1). - _Colin Barker_, Jul 19 2012
%t Denominator[Convergents[Sqrt[107],30]] (* or *) LinearRecurrence[ {0,0,0,0,0,1924,0,0,0,0,0,-1},{1,2,3,29,32,93,1892,3877,5769,55798,61567,178932},30] (* _Harvey P. Dale_, Aug 30 2013 *)
%t CoefficientList[Series[- (x^10 - 2 x^9 + 3 x^8 - 29 x^7 + 32 x^6 - 93 x^5 - 32 x^4 - 29 x^3 - 3 x^2 - 2 x - 1)/(x^12 - 1924 x^6 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 24 2013 *)
%Y Cf. A041192 (numerators), A010173 (continued fraction), A177935 (decimal expansion).
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
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