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A041903 Denominators of continued fraction convergents to sqrt(473). 2

%I

%S 1,1,3,4,171,175,521,696,29753,30449,90651,121100,5176851,5297951,

%T 15772753,21070704,900742321,921813025,2744368371,3666181396,

%U 156723987003,160390168399,477504323801,637894492200,27269072996201,27906967488401,83083007973003

%N Denominators of continued fraction convergents to sqrt(473).

%H Vincenzo Librandi, <a href="/A041903/b041903.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 174, 0, 0, 0, -1).

%F G.f.: -(x^2-x-1)*(x^4+4*x^2+1) / (x^8-174*x^4+1). - _Colin Barker_, Nov 27 2013

%F a(n) = 174*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Dec 26 2013

%t Denominator[Convergents[Sqrt[473], 30]] (* _Vincenzo Librandi_, Dec 26 2013 *)

%o (MAGMA) I:=[1,1,3,4,171,175,521,696]; [n le 8 select I[n] else 174*Self(n-4)-Self(n-8): n in [1..50]]; // _Vincenzo Librandi_, Dec 26 2013

%Y Cf. A041902, A040451.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 27 2013

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Last modified April 24 16:06 EDT 2019. Contains 322430 sequences. (Running on oeis4.)