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%I #4 Mar 30 2012 18:57:23
%S 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 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 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 Decimal expansion of (7-sqrt(13))/6.
%C Decimal expansion of the shape (= length/width = ((7-sqrt(13))/6) of the lesser (7/3)-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 0.56574145408933511781346312208825067562478390...
%t r = 7/3; t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t]
%t N[t, 130]
%t RealDigits[N[t, 130]][[1]]
%t ContinuedFraction[t, 120]
%Y Cf. A188738, A188943.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Apr 14 2011
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