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 A188938 #11 Apr 03 2020 11:20:18 %S A188938 3,1,3,8,5,9,3,3,8,3,6,5,4,9,2,8,3,5,0,3,7,3,4,7,1,3,2,9,4,5,2,6,7,6, %T A188938 7,0,4,4,4,9,3,3,8,8,5,5,0,4,3,0,1,9,0,8,0,7,5,0,3,0,6,3,2,3,5,8,5,2, %U A188938 4,8,1,9,6,3,5,6,4,8,8,4,3,2,4,3,2,1,8,6,5,8,6,0,0,8,0,2,9,6,9,3,9,5,1,1,0,6,3,0,7,6,3,5,8,7,2,9,0,5,3,2,5,1,6,2,9,4,3,4,6,1 %N A188938 Decimal expansion of (7-sqrt(33))/4. %C A188938 Decimal expansion of the shape (= length/width = (7-sqrt(33))/4) of the lesser (7/2)-contraction rectangle. %C A188938 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 A188938 0.31385933836549283503734713294526767044... %t A188938 r = 7/2; t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t] %t A188938 N[t, 130] %t A188938 RealDigits[N[t, 130]][[1]] %t A188938 ContinuedFraction[t, 120] %o A188938 (PARI) (7-sqrt(33))/4 \\ _Charles R Greathouse IV_, Apr 25 2016 %Y A188938 Cf. A188738, A188939. %K A188938 nonn,cons %O A188938 1,1 %A A188938 _Clark Kimberling_, Apr 14 2011 %E A188938 a(130) corrected by _Georg Fischer_, Apr 03 2020