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A041615 Denominators of continued fraction convergents to sqrt(326). 2

%I

%S 1,18,649,11700,421849,7604982,274201201,4943226600,178230358801,

%T 3213089685018,115849459019449,2088503352035100,75301970132283049,

%U 1357523965733129982,48946164736524962401,882388489223182453200,31814931776771093277601

%N Denominators of continued fraction convergents to sqrt(326).

%H Vincenzo Librandi, <a href="/A041615/b041615.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 (0,650,0,-1).

%F G.f.: -(x^2-18*x-1) / (x^4-650*x^2+1). - _Colin Barker_, Nov 20 2013

%F a(n) = 650*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Dec 22 2013

%t Denominator[Convergents[Sqrt[326], 20]] (* _Harvey P. Dale_, Jul 06 2013 *)

%t CoefficientList[Series[(1 + 18 x - x^2)/(x^4 - 650 x^2 + 1), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 22 2013 *)

%o (MAGMA) I:=[1,18,649,11700]; [n le 4 select I[n] else 650*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 22 2013

%Y Cf. A041614, A040307.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 20 2013

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Last modified July 5 06:34 EDT 2020. Contains 335459 sequences. (Running on oeis4.)