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 A041021 #35 Aug 29 2025 12:07:31 %S A041021 1,1,3,4,27,31,89,120,809,929,2667,3596,24243,27839,79921,107760, %T A041021 726481,834241,2394963,3229204,21770187,24999391,71768969,96768360, %U A041021 652379129,749147489,2150674107,2899821596,19549603683,22449425279,64448454241,86897879520 %N A041021 Denominators of continued fraction convergents to sqrt(14). %H A041021 Vincenzo Librandi, <a href="/A041021/b041021.txt">Table of n, a(n) for n = 0..200</a> %H A041021 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,30,0,0,0,-1). %F A041021 G.f.: (1+1*x+3*x^2+4*x^3-3*x^4+x^5-x^6)/(1-30*x^4+x^8). - _Colin Barker_, Jan 03 2012 %t A041021 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[14],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 17 2011*) %t A041021 Convergents[Sqrt[14],30]//Denominator (* or *) LinearRecurrence[{0,0,0,30,0,0,0,-1},{1,1,3,4,27,31,89,120},30] (* _Harvey P. Dale_, Aug 17 2024 *) %Y A041021 Cf. A010471, A041020, A157878 (quadrisection), A068204 (quadrisection). %K A041021 nonn,cofr,frac,easy,changed %O A041021 0,3 %A A041021 _N. J. A. Sloane_