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