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%I #33 Dec 26 2023 08:31:51
%S 12,289,6948,167041,4015932,96549409,2321201748,55805391361,
%T 1341650594412,32255419657249,775471722368388,18643576756498561,
%U 448221313878333852,10775955109836511009,259071143949954598068,6228483409908746864641,149742672981759879349452
%N Numerators of continued fraction convergents to sqrt(145).
%H Vincenzo Librandi, <a href="/A041264/b041264.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 (24,1).
%F a(n) = 24*a(n-1)+a(n-2) for n>1; a(0)=12, a(1)=289. G.f.: (12+x)/(1-24*x-x^2). [_Philippe Deléham_, Nov 21 2008]
%t Numerator[Convergents[Sqrt[145], 30]] (* _Vincenzo Librandi_, Oct 31 2013 *)
%Y Cf. A041265.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 06 2013
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