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 A041057 #24 Jul 09 2025 00:12:43
%S A041057 1,1,5,6,65,71,349,420,4549,4969,24425,29394,318365,347759,1709401,
%T A041057 2057160,22281001,24338161,119633645,143971806,1559351705,1703323511,
%U A041057 8372645749,10075969260,109132338349
%N A041057 Denominators of continued fraction convergents to sqrt(34).
%H A041057 Vincenzo Librandi, <a href="/A041057/b041057.txt">Table of n, a(n) for n = 0..200</a>
%H A041057 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,70,0,0,0,-1).
%F A041057 a(n) = 70*a(n-4)-a(n-8). G.f.: -(x^2-x-1)*(x^4+6*x^2+1)/(x^8-70*x^4+1). [_Colin Barker_, Jul 16 2012]
%t A041057 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[34], n]]], {n, 1, 50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011*)
%t A041057 Denominator[Convergents[Sqrt[34], 30]] (* _Vincenzo Librandi_, Oct 23 2013 *)
%Y A041057 Cf. A010489, A041056.
%K A041057 nonn,cofr,frac,easy
%O A041057 0,3
%A A041057 _N. J. A. Sloane_