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%I #28 Dec 26 2023 07:02:34
%S 7,99,1393,19601,275807,3880899,54608393,768398401,10812186007,
%T 152139002499,2140758220993,30122754096401,423859315570607,
%U 5964153172084899,83922003724759193,1180872205318713601,16616132878186749607,233806732499933208099,3289910387877251662993
%N Numerators of continued fraction convergents to sqrt(50).
%H Vincenzo Librandi, <a href="/A041084/b041084.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 (14,1).
%F a(n) = 14*a(n-1)+a(n-2), n>1 ; a(0)=7, a(1)=99 . G.f.: (7+x)/(1-14*x-x^2). - _Philippe Deléham_, Nov 21 2008
%t Numerator[Convergents[Sqrt[50],30]] (* or *) LinearRecurrence[{14,1},{7,99},30] (* _Harvey P. Dale_, Aug 18 2013 *)
%t CoefficientList[Series[(7 + x)/(1 - 14 x - x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y Cf. A010503, A041085.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 04 2013
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