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 A190263 #18 Sep 08 2022 08:45:57 %S A190263 1,2,2,3,1,3,2,1,1,1,1,8,2,17,2,3,10,2,23,1,4,1,2,1,4,1,2,35,4,1,1,1, %T A190263 2,5,4,1,1,3,17,3,2,1,3,1,3,1,1,10,3,1,13,1,1,1,4,1,2,2,2,1,2,15,3,2, %U A190263 5,6,2,1,15,132,4,2,1,1,19,1,4,1,2,5,2,16,2,1,15,5,2,10,13,1,1 %N A190263 Continued fraction of (3 + sqrt(9 + 12*sqrt(3)))/6. %C A190263 Equivalent to the periodic continued fraction [1, x, 1, x,...], where x=sqrt(3). (See A188635.) %H A190263 G. C. Greubel, <a href="/A190263/b190263.txt">Table of n, a(n) for n = 1..10000</a> %t A190263 r=3^(1/2) %t A190263 FromContinuedFraction[{1, r, {1, r}}] %t A190263 FullSimplify[%] %t A190263 ContinuedFraction[%, 100] (* A190263 *) %t A190263 RealDigits[N[%%, 120]] (* A190262 *) %t A190263 N[%%%, 40] %t A190263 ContinuedFraction[(3 + Sqrt[9 + 12*Sqrt[3]])/6, 100] (* _G. C. Greubel_, Dec 26 2017 *) %o A190263 (PARI) contfrac((3+sqrt(9+sqrt(432)))/6) \\ _Charles R Greathouse IV_, Jul 29 2011 %o A190263 (Magma) ContinuedFraction((3 + sqrt(9 + 12*sqrt(3)))/6); // _G. C. Greubel_, Dec 28 2017 %Y A190263 Cf. A188635, A190262. %K A190263 nonn,cofr %O A190263 1,2 %A A190263 _Clark Kimberling_, May 06 2011