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%I #17 Sep 08 2022 08:44:55
%S 1,7,295,2072,87319,613305,25846129,181536208,7650366865,53734104263,
%T 2264482745911,15905113325640,670279242422791,4707859810285177,
%U 198400391274400225,1393510598731086752,58725845537980043809,412474429364591393415,17382651878850818567239
%N Denominators of continued fraction convergents to sqrt(447).
%H Vincenzo Librandi, <a href="/A041851/b041851.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, 296, 0, -1).
%F G.f.: -(x^2 -7*x -1) / (x^4 -296*x^2 +1). - _Colin Barker_, Nov 26 2013
%F a(n) = 296*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Dec 25 2013
%t Denominator[Convergents[Sqrt[447], 30]] (* _Vincenzo Librandi_, Dec 25 2013 *)
%o (Magma) I:=[1,7,295,2072]; [n le 4 select I[n] else 296*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Dec 25 2013
%Y Cf. A041850, A040425.
%K nonn,frac,easy
%O 0,2
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 26 2013
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