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%I #31 Dec 26 2023 07:02:41
%S 6,73,882,10657,128766,1555849,18798954,227143297,2744518518,
%T 33161365513,400680904674,4841332221601,58496667563886,
%U 706801342988233,8540112783422682,103188154744060417,1246797969712147686
%N Numerators of continued fraction convergents to sqrt(37).
%H Vincenzo Librandi, <a href="/A041060/b041060.txt">Table of n, a(n) for n = 0..200</a>
%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (12,1).
%F From _Philippe Deléham_, Nov 21 2008: (Start)
%F a(n) = 12*a(n-1) + a(n-2), n > 1; a(0)=6, a(1)=73.
%F G.f.: (6+x)/(1-12*x-x^2). (End)
%t Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[37],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 21 2011 *)
%t CoefficientList[Series[(6 + x)/(1 - 12 x - x^2), {x, 0, 30}], x] (* Vincenzo Librandi_, Oct 28 2013 *)
%Y Cf. A010491, A041061.
%Y Cf. A089926. - _R. J. Mathar_, Sep 09 2008
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_
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