This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A042300 #31 Jul 09 2025 02:33:19
%S A042300 26,1353,70382,3661217,190453666,9907251849,515367549814,
%T A042300 26809019842177,1394584399343018,72545197785679113,
%U A042300 3773744869254656894,196307278399027837601,10211752221618702212146,531207422802571542869193,27632997737955338931410182
%N A042300 Numerators of continued fraction convergents to sqrt(677).
%H A042300 Vincenzo Librandi, <a href="/A042300/b042300.txt">Table of n, a(n) for n = 0..200</a>
%H A042300 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H A042300 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (52, 1).
%F A042300 a(n) = 52*a(n-1)+a(n-2) for n>1, a(0)=26, a(1)=1353. G.f.: (26+x)/(1-52*x -x^2). [_Philippe Deléham_, Nov 23 2008]
%t A042300 Numerator[Convergents[Sqrt[677], 30]] (* or *) LinearRecurrence[{52, 1}, {26, 1353}, 30] (* _Harvey P. Dale_, Nov 09 2011 *)
%o A042300 (Magma) I:=[26,1353]; [n le 2 select I[n] else 52*Self(n-1)+Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Nov 21 2013
%Y A042300 Cf. A042301, A040650.
%K A042300 nonn,cofr,frac,easy
%O A042300 0,1
%A A042300 _N. J. A. Sloane_
%E A042300 Additional term from _Colin Barker_, Dec 07 2013