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A041655 Denominators of continued fraction convergents to sqrt(346). 2

%I

%S 1,1,2,3,5,183,188,371,559,930,34039,34969,69008,103977,172985,

%T 6331437,6504422,12835859,19340281,32176140,1177681321,1209857461,

%U 2387538782,3597396243,5984935025,219055057143,225039992168,444095049311,669135041479,1113230090790

%N Denominators of continued fraction convergents to sqrt(346).

%H Vincenzo Librandi, <a href="/A041655/b041655.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 186, 0, 0, 0, 0, 1).

%F G.f.: -(x^4-3*x^3+4*x^2-2*x+1)*(x^4+2*x^3+4*x^2+3*x+1) / (x^10+186*x^5-1). - _Colin Barker_, Nov 21 2013

%F a(n) = 186*a(n-5) + a(n-10) for n>9. - _Vincenzo Librandi_, Dec 22 2013

%t Denominator[Convergents[Sqrt[346], 30]] (* _Harvey P. Dale_, Nov 12 2013 *)

%t CoefficientList[Series[-(x^4 - 3 x^3 + 4 x^2 - 2 x + 1) (x^4 + 2 x^3 + 4 x^2 + 3 x + 1)/(x^10 + 186 x^5 - 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 22 2013 *)

%o (MAGMA) I:=[1,1,2,3,5,183,188,371,559,930]; [n le 10 select I[n] else 186*Self(n-5)+Self(n-10): n in [1..40]]; // _Vincenzo Librandi_, Dec 22 2013

%Y Cf. A041654, A040327.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 21 2013

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Last modified July 20 05:37 EDT 2019. Contains 325168 sequences. (Running on oeis4.)