|
%I #18 Jun 26 2022 23:32:35
%S 1,2,125,252,15749,31750,1984249,4000248,249999625,503999498,
%T 31497968501,63499936500,3968494031501,8000487999502,499998750000625,
%U 1007997988000752,62995874006047249,126999746000095250,7936980126011952749,16000959998024000748
%N Denominators of continued fraction convergents to sqrt(992).
%H Vincenzo Librandi, <a href="/A042921/b042921.txt">Table of n, a(n) for n = 0..200</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 126, 0, -1).
%F G.f.: -(x^2-2*x-1) / (x^4-126*x^2+1). - _Colin Barker_, Dec 25 2013
%F a(n) = 126*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Feb 01 2014
%t Denominator[Convergents[Sqrt[992], 30]] (* _Vincenzo Librandi_, Feb 01 2014 *)
%o (Magma) I:=[1,2,125,252]; [n le 4 select I[n] else 126*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Feb 01 2014
%Y Cf. A042920, A040960.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_
%E More terms from _Colin Barker_, Dec 25 2013
|
