%I #30 Dec 26 2023 07:04:01
%S 27,1459,78813,4257361,229976307,12422977939,671070785013,
%T 36250245368641,1958184320691627,105778203562716499,
%U 5713981176707382573,308660761745761375441,16673395115447821656387,900671996995928130820339,48652961232895566885954693
%N Numerators of continued fraction convergents to sqrt(730).
%H Vincenzo Librandi, <a href="/A042404/b042404.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 (54, 1).
%F a(n)=54*a(n-1)+a(n-2), n>1; a(0)=27, a(1)=1459. G.f.: (27+x)/(1-54*x-x^2). - _Philippe Deléham_, Nov 23 2008
%t Numerator[Convergents[Sqrt[730], 30]] (* _Vincenzo Librandi_, Nov 23 2013 *)
%t LinearRecurrence[{54,1},{27,1459},20] (* _Harvey P. Dale_, Nov 29 2020 *)
%Y Cf. A042405, A040702.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_
%E a(14) from _Colin Barker_, Dec 11 2013