%I #17 Sep 08 2022 08:44:54

%S 1,8,193,1552,37441,301080,7263361,58407968,1409054593,11330844712,

%T 273349327681,2198125466160,53028360515521,426425009590328,

%U 10287228590683393,82724253735057472,1995669318232062721,16048078799591559240,387149560508429484481

%N Denominators of continued fraction convergents to sqrt(147).

%H Vincenzo Librandi, <a href="/A041269/b041269.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, 194, 0, -1).

%F G.f.: -(x^2-8*x-1) / ((x^2-14*x+1)*(x^2+14*x+1)). - _Colin Barker_, Nov 14 2013

%F a(n) = 194*a(n-2) - a(n-4). - _Vincenzo Librandi_, Dec 14 2013

%t Denominator[Convergents[Sqrt[147], 30]] (* _Vincenzo Librandi_, Dec 14 2013 *)

%o (Magma) I:=[1,8,193,1552]; [n le 4 select I[n] else 194*Self(n-2)-Self(n-4): n in [1..40]]; // _Vincenzo Librandi_, Dec 14 2013

%Y Cf. A041268, A176910, A040132.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 14 2013