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A042883 Denominators of continued fraction convergents to sqrt(973). 2

%I

%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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Last modified March 19 11:10 EDT 2019. Contains 321329 sequences. (Running on oeis4.)