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 A189966 #14 Sep 08 2022 08:45:56 %S A189966 2,1,8,6,1,4,0,6,6,1,6,3,4,5,0,7,1,6,4,9,6,2,6,5,2,8,6,7,0,5,4,7,3,2, %T A189966 3,2,9,5,5,5,0,6,6,1,1,4,4,9,5,6,9,8,0,9,1,9,2,4,9,6,9,3,6,7,6,4,1,4, %U A189966 7,5,1,8,0,3,6,4,3,5,1,1,5,6,7,5,6,7,8,1,3,4,1,3,9,9,1,9,7,0,3,0,6,0,4,8,8,9,3,6,9,2,3,6,4,1,2,7,0,9,4,6 %N A189966 Decimal expansion of (3+sqrt(33))/4, which has periodic continued fractions [2,5,2,1,2,5,2,1,...] and [3/2, 1, 3/2, 1, ...]. %C A189966 Let R denote a rectangle whose shape (i.e., length/width) is (3+sqrt(33))/4. This rectangle can be partitioned into squares in a manner that matches the continued fraction [2,5,2,1,2,5,2,1,2,5,2,1,...]. It can also be partitioned into rectangles of shape 3/2 and 3 so as to match the continued fraction [3/2, 1, 3/2, 1, 3/2, ...]. For details, see A188635. %C A189966 Apart from the first digit, the same as A188939. - _R. J. Mathar_, May 16 2011 %H A189966 G. C. Greubel, <a href="/A189966/b189966.txt">Table of n, a(n) for n = 1..10000</a> %e A189966 2.18614066163450716496265286705473232955506611449... %t A189966 FromContinuedFraction[{3/2, 1, {3/2, 1}}] %t A189966 ContinuedFraction[%, 25] (* [2,5,2,1,2,5,2,1,...] *) %t A189966 RealDigits[N[%%, 120]] (* A189966 *) %t A189966 N[%%%, 40] %o A189966 (PARI) (3+sqrt(33))/4 \\ _G. C. Greubel_, Jan 12 2018 %o A189966 (Magma) (3+Sqrt(33))/4 // _G. C. Greubel_, Jan 12 2018 %Y A189966 Cf. A188635, A188485. %K A189966 nonn,cons %O A189966 1,1 %A A189966 _Clark Kimberling_, May 05 2011