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 A041078 #27 Jul 09 2025 00:14:21
%S A041078 6,7,27,34,61,156,997,2150,3147,5297,19038,24335,311058,335393,
%T A041078 1317237,1652630,2969867,7592364,48524051,104640466,153164517,
%U A041078 257804983,926579466,1184384449,15139192854,16323577303
%N A041078 Numerators of continued fraction convergents to sqrt(46).
%H A041078 Vincenzo Librandi, <a href="/A041078/b041078.txt">Table of n, a(n) for n = 0..200</a>
%H A041078 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, Unpublished.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 A041078 A. J. van der Poorten, <a href="/A007400/a007400_4.pdf">An introduction to continued fractions</a>, Unpublished [Cached copy]
%H A041078 <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 A041078 a(n) = 48670*a(n-12)-a(n-24). G.f.: -(x^23 -6*x^22 +7*x^21 -27*x^20 +34*x^19 -61*x^18 +156*x^17 -997*x^16 +2150*x^15 -3147*x^14 +5297*x^13 -19038*x^12 -24335*x^11 -19038*x^10 -5297*x^9 -3147*x^8 -2150*x^7 -997*x^6 -156*x^5 -61*x^4 -34*x^3 -27*x^2 -7*x-6) / (x^24-48670*x^12+1). - _Colin Barker_, Jul 19 2012
%t A041078 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[46],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011 *)
%t A041078 Numerator[Convergents[Sqrt[46], 30]] (* _Vincenzo Librandi_, Oct 25 2013 *)
%Y A041078 Cf. A010500, A041079.
%K A041078 nonn,cofr,frac,easy
%O A041078 0,1
%A A041078 _N. J. A. Sloane_
%E A041078 Formula corrected by _Colin Barker_, Jul 24 2012