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%I #22 Jun 26 2022 23:50:35
%S 1,5,26,57,482,1021,5587,28956,1800859,9033251,46967114,102967479,
%T 870706946,1844381371,10092613801,52307450376,3253154537113,
%U 16318080135941,84843555216818,186005190569577,1572885079773434,3331775350116445,18231761830355659
%N Denominators of continued fraction convergents to sqrt(973).
%H Vincenzo Librandi, <a href="/A042883/b042883.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 1806446, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^14 - 5*x^13 + 26*x^12 - 57*x^11 + 482*x^10 - 1021*x^9 + 5587*x^8 - 28956*x^7 - 5587*x^6 - 1021*x^5 - 482*x^4 - 57*x^3 - 26*x^2 - 5*x - 1) / (x^16 - 1806446*x^8 + 1). - _Colin Barker_, Dec 25 2013
%F a(n) = 1806446*a(n-8) - a(n-16) for n > 15. - _Vincenzo Librandi_, Jan 31 2014
%t Denominator[Convergents[Sqrt[973], 40]] (* _Harvey P. Dale_, May 04 2012 *)
%o (Magma) I:=[1,5,26,57,482,1021,5587,28956,1800859, 9033251,46967114,102967479,870706946,1844381371, 10092613801,52307450376]; [n le 16 select I[n] else 1806446*Self(n-8)-Self(n-16): n in [1..35]]; // _Vincenzo Librandi_, Jan 31 2014
%Y Cf. A042882, A040941.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _Colin Barker_, Dec 25 2013
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