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A042127 Denominators of continued fraction convergents to sqrt(588). 3

%I #18 Sep 08 2022 08:44:55

%S 1,4,193,776,37441,150540,7263361,29203984,1409054593,5665422356,

%T 273349327681,1099062733080,53028360515521,213212504795164,

%U 10287228590683393,41362126867528736,1995669318232062721,8024039399795779620,387149560508429484481

%N Denominators of continued fraction convergents to sqrt(588).

%H Vincenzo Librandi, <a href="/A042127/b042127.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 (0,194,0,-1).

%F G.f.: -(x^2-4*x-1) / ((x^2-14*x+1)*(x^2+14*x+1)). - _Colin Barker_, Dec 02 2013

%F a(n) = 194*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Jan 15 2014

%t Denominator[Convergents[Sqrt[588], 30]] (* _Vincenzo Librandi_, Jan 15 2014 *)

%t LinearRecurrence[{0,194,0,-1},{1,4,193,776},20] (* _Harvey P. Dale_, Dec 05 2018 *)

%o (Magma) I:=[1,4,193,776]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Jan 15 2014

%Y Cf. A042126, A040563.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 02 2013

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)