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%I #16 Sep 08 2022 08:44:55
%S 1,1,3,10,63,199,461,660,38741,39401,117543,392030,2469723,7801199,
%T 18072121,25873320,1518724681,1544598001,4607920683,15368360050,
%U 96818080983,305822602999,708463286981,1014285889980,59537044905821,60551330795801
%N Denominators of continued fraction convergents to sqrt(882).
%H Vincenzo Librandi, <a href="/A042705/b042705.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 -x^13 +3*x^12 -10*x^11 +63*x^10 -199*x^9 +461*x^8 -660*x^7 -461*x^6 -199*x^5 -63*x^4 -10*x^3 -3*x^2 -x -1) / ((x^4 -14*x^2 -1)*(x^4 +14*x^2 -1)*(x^8 +198*x^4 +1)). - _Colin Barker_, Dec 22 2013
%F a(n) = 39202*a(n-8) - a(n-16) for n>15. - _Vincenzo Librandi_, Dec 22 2013
%t Denominator[Convergents[Sqrt[882], 30]] (* _Vincenzo Librandi_, Dec 22 2013 *)
%o (Magma) I:=[1,1,3,10,63,199,461,660,38741,39401,117543, 392030,2469723,7801199,18072121,25873320]; [n le 16 select I[n] else 39202*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 22 2013
%Y Cf. A042704, A040852.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Dec 22 2013
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