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 A041079 #30 Jul 09 2025 00:14:27
%S A041079 1,1,4,5,9,23,147,317,464,781,2807,3588,45863,49451,194216,243667,
%T A041079 437883,1119433,7154481,15428395,22582876,38011271,136616689,
%U A041079 174627960,2232152209,2406780169,9452492716,11859272885
%N A041079 Denominators of continued fraction convergents to sqrt(46).
%C A041079 46 is the smallest value of n for which the period of the continued fraction convergents to sqrt(n) is 12. [_Colin Barker_, Jul 19 2012]
%H A041079 Vincenzo Librandi, <a href="/A041079/b041079.txt">Table of n, a(n) for n = 0..200</a>
%H A041079 A. J. van der Poorten, <a href="https://web.archive.org/web/*/http://www-centre.mpce.mq.edu.au/alfpapers/a075.pdf">An introduction to continued fractions</a>, Unpublished.
%H A041079 A. J. van der Poorten, <a href="/A007400/a007400_4.pdf">An introduction to continued fractions</a>, Unpublished [Cached copy]
%H A041079 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,0,0,0,0,-1).
%F A041079 a(n) = 48670*a(n-12)-a(n-24). G.f.: -(x^22 -x^21 +4*x^20 -5*x^19 +9*x^18 -23*x^17 +147*x^16 -317*x^15 +464*x^14 -781*x^13 +2807*x^12 -3588*x^11 -2807*x^10 -781*x^9 -464*x^8 -317*x^7 -147*x^6 -23*x^5 -9*x^4 -5*x^3 -4*x^2 -x -1) / (x^24-48670*x^12+1). [_Colin Barker_, Jul 19 2012]
%t A041079 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[46],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011*)
%t A041079 Denominator[Convergents[Sqrt[46], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)
%Y A041079 Cf. A010500, A041078.
%K A041079 nonn,cofr,frac,easy
%O A041079 0,3
%A A041079 _N. J. A. Sloane_
%E A041079 Formula corrected by _Colin Barker_, Jul 24 2012