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 A188942 #7 Feb 14 2025 01:12:34 %S A188942 5,6,5,7,4,1,4,5,4,0,8,9,3,3,5,1,1,7,8,1,3,4,6,3,1,2,2,0,8,8,2,5,0,6, %T A188942 7,5,6,2,4,7,8,3,9,0,4,3,5,9,1,2,5,6,3,1,2,1,4,9,2,4,4,9,0,6,2,8,8,0, %U A188942 5,5,0,8,6,1,7,8,3,1,5,9,2,4,6,5,8,9,6,8,1,9,6,6,3,5,8,4,8,8,0,3,8,7,7,4,7,6,3,6,3,2,9,3,2,2,7,4,3,2,7,0,6,6,1,5,5,3,6,2,2,5 %N A188942 Decimal expansion of (7-sqrt(13))/6. %C A188942 Decimal expansion of the shape (= length/width = (7-sqrt(13))/6) of the lesser (7/3)-contraction rectangle. %C A188942 See A188738 for an introduction to lesser and greater r-contraction rectangles, their shapes, and partitioning these rectangles into a sets of squares in a manner that matches the continued fractions of their shapes. %e A188942 0.56574145408933511781346312208825067562478390... %t A188942 r = 7/3; t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t] %t A188942 N[t, 130] %t A188942 RealDigits[N[t, 130]][[1]] %t A188942 ContinuedFraction[t, 120] %Y A188942 Cf. A188738, A188943. %K A188942 nonn,cons,easy %O A188942 1,1 %A A188942 _Clark Kimberling_, Apr 14 2011