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 A041053 #25 Jul 09 2025 00:12:15
%S A041053 1,1,2,3,32,35,67,102,1087,1189,2276,3465,36926,40391,77317,117708,
%T A041053 1254397,1372105,2626502,3998607,42612572,46611179,89223751,135834930,
%U A041053 1447573051,1583407981,3030981032,4614389013
%N A041053 Denominators of continued fraction convergents to sqrt(32).
%H A041053 Vincenzo Librandi, <a href="/A041053/b041053.txt">Table of n, a(n) for n = 0..1000</a>
%H A041053 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,34,0,0,0,-1).
%F A041053 G.f.: (1+x+2*x^2+3*x^3-2*x^4+x^5-x^6)/(1-34*x^4+x^8). [_Colin Barker_, Mar 13 2012]
%F A041053 a(0)=1, a(1)=1, a(2)=2, a(3)=3, a(4)=32, a(5)=35, a(6)=67, a(7)=102, a(n)=34*a(n-4)-a(n-8). - _Harvey P. Dale_, Jun 15 2015
%t A041053 Table[Denominator[FromContinuedFraction[ContinuedFraction[Sqrt[32],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011*)
%t A041053 Denominator[Convergents[Sqrt[32],30]] (* or *) LinearRecurrence[{0,0,0,34,0,0,0,-1},{1,1,2,3,32,35,67,102},30] (* _Harvey P. Dale_, Jun 15 2015 *)
%Y A041053 Cf. A010487, A041052.
%K A041053 nonn,cofr,frac,easy
%O A041053 0,3
%A A041053 _N. J. A. Sloane_