|
%I #18 Sep 08 2022 08:44:54
%S 1,6,7,34,41,280,9561,57646,67207,326474,393681,2688560,91804721,
%T 553516886,645321607,3134803314,3780124921,25815552840,881508921481,
%U 5314869081726,6196378003207,30100381094554,36296759097761,247880935681120,8464248572255841
%N Denominators of continued fraction convergents to sqrt(294).
%H Vincenzo Librandi, <a href="/A041553/b041553.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 (0,0,0,0,0,9602,0,0,0,0,0,-1).
%F G.f.: -(x^10-6*x^9+7*x^8-34*x^7+41*x^6-280*x^5-41*x^4-34*x^3-7*x^2-6*x-1) / ((x^6-98*x^3+1)*(x^6+98*x^3+1)). - _Colin Barker_, Nov 18 2013
%F a(n) = 9602*a(n-6) - a(n-12) for n>11. - _Vincenzo Librandi_, Dec 20 2013
%t Denominator[Convergents[Sqrt[294 ], 30]] (* _Vincenzo Librandi_, Dec 20 2013 *)
%o (Magma) I:=[1,6,7,34,41,280,9561,57646,67207,326474,393681,2688560]; [n le 12 select I[n] else 9602*Self(n-6)-Self(n-12): n in [1..40]]; // _Vincenzo Librandi_, Dec 20 2013
%Y Cf. A041552, A040276.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 18 2013
|
