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%I #17 Sep 08 2022 08:44:55
%S 1,3,4,7,95,102,197,693,39005,117708,156713,274421,3724186,3998607,
%T 7722793,27166986,1529074009,4614389013,6143463022,10757852035,
%U 145995539477,156753391512,302748930989,1065000184479,59942759261813,180893277969918,240836037231731
%N Denominators of continued fraction convergents to sqrt(800).
%H Vincenzo Librandi, <a href="/A042543/b042543.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 (0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^14 -3*x^13 +4*x^12 -7*x^11 +95*x^10 -102*x^9 +197*x^8 -693*x^7 -197*x^6 -102*x^5 -95*x^4 -7*x^3 -4*x^2 -3*x -1) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - _Colin Barker_, Dec 17 2013
%F a(n) = 39202*a(n-8) - a(n-16) for n>15. - _Vincenzo Librandi_, Jan 23 2014
%t Denominator[Convergents[Sqrt[800], 30]] (* _Harvey P. Dale_, May 22 2013 *)
%o (Magma) I:=[1,3,4,7,95,102,197,693,39005,117708,156713, 274421,3724186,3998607,7722793,27166986]; [n le 16 select I[n] else 39202*Self(n-8)-Self(n-16): n in [1..30]]; // _Vincenzo Librandi_, Jan 23 2014
%Y Cf. A042542, A040771.
%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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