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%I #18 May 26 2018 16:23:58
%S 1,1,2,5,47,99,146,245,9456,9701,19157,48015,451292,950599,1401891,
%T 2352490,90796511,93149001,183945512,461040025,4333305737,9127651499,
%U 13460957236,22588608735,871828089166,894416697901,1766244787067,4426906272035,41608401235382
%N Denominators of continued fraction convergents to sqrt(384).
%H Vincenzo Librandi, <a href="/A041729/b041729.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 (0,0,0,0,0,0,0,9602,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +47*x^10 -99*x^9 +146*x^8 -245*x^7 -146*x^6 -99*x^5 -47*x^4 -5*x^3 -2*x^2 -x -1) / ((x^4 -4*x^3 +8*x^2 +4*x +1)*(x^4 -10*x^2 +1)*(x^4 +10*x^2 +1)*(x^4 +4*x^3 +8*x^2 -4*x +1)). - _Colin Barker_, Nov 22 2013
%F a(n) = 9602*a(n-8) - a(n-16) for n>15. - _Vincenzo Librandi_, Dec 23 2013
%p convert(sqrt(384), confrac, 30, cvgts): denom(cvgts); # _Wesley Ivan Hurt_, Dec 23 2013
%t Denominator[Convergents[Sqrt[384], 30]] (* _Vincenzo Librandi_, Dec 23 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,0,9602,0,0,0,0,0,0,0,-1},{1,1,2,5,47,99,146,245,9456,9701,19157,48015,451292,950599,1401891,2352490},40] (* _Harvey P. Dale_, May 26 2018 *)
%Y Cf. A041728, A040364.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 22 2013
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