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A041601 Denominators of continued fraction convergents to sqrt(318). 2

%I

%S 1,1,5,6,209,215,1069,1284,44725,46009,228761,274770,9570941,9845711,

%T 48953785,58799496,2048136649,2106936145,10475881229,12582817374,

%U 438291671945,450874489319,2241789629221,2692664118540,93792369659581,96485033778121

%N Denominators of continued fraction convergents to sqrt(318).

%H Vincenzo Librandi, <a href="/A041601/b041601.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 (0,0,0,214,0,0,0,-1).

%F G.f.: -(x^2-x-1)*(x^4+6*x^2+1) / (x^8-214*x^4+1). - _Colin Barker_, Nov 19 2013

%F a(n) = 214*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Dec 21 2013

%t Denominator[Convergents[Sqrt[318], 30]] (* _Vincenzo Librandi_ Dec 21 2013 *)

%o (MAGMA) I:=[1,1,5,6,209,215,1069,1284]; [n le 8 select I[n] else 214*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 21 2013

%Y Cf. A041600, A040300.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 19 2013

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Last modified February 25 20:04 EST 2020. Contains 332258 sequences. (Running on oeis4.)