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 A041052 #33 Aug 19 2025 22:57:19 %S A041052 5,6,11,17,181,198,379,577,6149,6726,12875,19601,208885,228486,437371, %T A041052 665857,7095941,7761798,14857739,22619537,241053109,263672646, %U A041052 504725755,768398401,8188709765,8957108166,17145817931,26102926097,278175078901,304278004998 %N A041052 Numerators of continued fraction convergents to sqrt(32). %H A041052 Vincenzo Librandi, <a href="/A041052/b041052.txt">Table of n, a(n) for n = 0..200</a> %H A041052 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,34,0,0,0,-1). %F A041052 G.f.: (5+6*x+11*x^2+17*x^3+11*x^4-6*x^5+5*x^6-x^7)/(1-34*x^4+x^8). - _Colin Barker_, Jan 03 2012 %t A041052 Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[32], n]]], {n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 18 2011 *) %t A041052 Numerator[Convergents[Sqrt[32], 30]] (* _Vincenzo Librandi_, Oct 23 2013 *) %Y A041052 Cf. A010487, A041053. %K A041052 nonn,cofr,frac,easy %O A041052 0,1 %A A041052 _N. J. A. Sloane_