%I #18 Sep 08 2022 08:44:55
%S 1,1,21,22,945,967,20285,21252,912869,934121,19595289,20529410,
%T 881830509,902359919,18929028889,19831388808,851847358825,
%U 871678747633,18285422311485,19157101059118,822883666794441,842040767853559,17663699023865621,18505739791719180
%N Denominators of continued fraction convergents to sqrt(482).
%H Vincenzo Librandi, <a href="/A041921/b041921.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 (0,0,0,966,0,0,0,-1).
%F G.f.: -(x^2-x-1)*(x^4+22*x^2+1) / (x^8-966*x^4+1). - _Colin Barker_, Nov 27 2013
%F a(n) = 966*a(n-4) - a(n-8) for n>7. - _Vincenzo Librandi_, Dec 27 2013
%t Denominator[Convergents[Sqrt[482], 30]] (* _Vincenzo Librandi_, Dec 27 2013 *)
%t LinearRecurrence[{0,0,0,966,0,0,0,-1},{1,1,21,22,945,967,20285,21252},30] (* _Harvey P. Dale_, Mar 25 2018 *)
%o (Magma) I:=[1,1,21,22,945,967,20285,21252]; [n le 8 select I[n] else 966*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 27 2013
%Y Cf. A041920, A040460.
%K nonn,frac,easy,less
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 27 2013
|