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 A041125 #21 Jul 09 2025 00:18:24
%S A041125 1,2,5,7,54,61,176,413,6784,13981,34746,48727,375835,424562,1224959,
%T A041125 2874480,47216639,97307758,241832155,339139913,2615811546,2954951459,
%U A041125 8525714464,20006380387,328627800656,677261981699,1683151764054,2360413745753,18206047984325
%N A041125 Denominators of continued fraction convergents to sqrt(71).
%H A041125 Vincenzo Librandi, <a href="/A041125/b041125.txt">Table of n, a(n) for n = 0..200</a>
%H A041125 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,6960,0,0,0,0,0,0,0,-1).
%F A041125 G.f.: -(x^14 -2*x^13 +5*x^12 -7*x^11 +54*x^10 -61*x^9 +176*x^8 -413*x^7 -176*x^6 -61*x^5 -54*x^4 -7*x^3 -5*x^2 -2*x -1) / (x^16 -6960*x^8 +1). - _Colin Barker_, Nov 13 2013
%F A041125 a(n) = 6960*a(n-8) - a(n-16). - _Vincenzo Librandi_, Dec 11 2013
%t A041125 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[71],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Jun 26 2011 *)
%t A041125 Denominator[Convergents[Sqrt[71], 30]] (* _Vincenzo Librandi_, Dec 11 2013 *)
%t A041125 LinearRecurrence[{0,0,0,0,0,0,0,6960,0,0,0,0,0,0,0,-1},{1,2,5,7,54,61,176,413,6784,13981,34746,48727,375835,424562,1224959,2874480},30] (* _Harvey P. Dale_, Apr 09 2022 *)
%o A041125 (Magma) I:=[1, 2, 5, 7, 54, 61, 176, 413, 6784, 13981, 34746, 48727, 375835, 424562, 1224959, 2874480]; [n le 16 select I[n] else 6960*Self(n-8)-Self(n-16): n in [1..40]]; // _Vincenzo Librandi_, Dec 11 2013
%Y A041125 Cf. A041124, A010150, A020828, A010523.
%K A041125 nonn,cofr,frac,easy
%O A041125 0,2
%A A041125 _N. J. A. Sloane_
%E A041125 More terms from _Colin Barker_, Nov 13 2013