|
%I #16 Sep 08 2022 08:44:54
%S 1,1,2,3,68,71,139,210,4759,4969,9728,14697,333062,347759,680821,
%T 1028580,23309581,24338161,47647742,71985903,1631337608,1703323511,
%U 3334661119,5037984630,114170322979,119208307609,233378630588,352586938197,7990291270922
%N Denominators of continued fraction convergents to sqrt(136).
%H Vincenzo Librandi, <a href="/A041249/b041249.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 (0,0,0,70,0,0,0,-1).
%F G.f.: -(x^2-x-1)*(x^4+3*x^2+1) / (x^8-70*x^4+1). - _Colin Barker_, Nov 14 2013
%F a(n) = 70*a(n-4) - a(n-8). - _Vincenzo Librandi_, Dec 13 2013
%t Denominator[Convergents[Sqrt[136], 30]] (* _Vincenzo Librandi_, Dec 13 2013 *)
%o (Magma) I:=[1,1,2,3,68,71,139,210]; [n le 8 select I[n] else 70*Self(n-4)-Self(n-8): n in [1..40]]; // _Vincenzo Librandi_, Dec 13 2013
%Y Cf. A041248, A010195.
%K nonn,frac,easy
%O 0,3
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 14 2013
|
