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%I #30 Dec 26 2023 08:06:44
%S 11,243,5357,118097,2603491,57394899,1265291269,27893802817,
%T 614928953243,13556330774163,298854205984829,6588348862440401,
%U 145242529179673651,3201923990815260723,70587570327115409557,1556128471187354270977,34305413936448909371051
%N Numerators of continued fraction convergents to sqrt(122).
%H Vincenzo Librandi, <a href="/A041220/b041220.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#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (22,1).
%F From _Philippe Deléham_, Nov 21 2008: (Start)
%F a(n) = 22*a(n-1) + a(n-2) for n > 1, a(0)=11, a(1)=243.
%F G.f.: (11+x) / (1-22*x-x^2). (End)
%t Numerator/@Convergents[Sqrt[122],20] (* _Harvey P. Dale_, Jun 04 2011 *)
%t CoefficientList[Series[(11 + x)/(1 - 22 x - x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Oct 31 2013 *)
%Y Cf. A041221.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_
%E More terms from _Colin Barker_, Nov 05 2013
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