%I
%S 4,3,8,6,7,1,4,5,5,3,4,8,5,3,2,6,0,8,7,5,8,2,7,0,5,9,4,4,3,6,4,8,9,1,
%T 3,5,4,5,7,0,3,8,6,5,7,4,7,1,4,3,9,4,3,6,7,4,8,8,7,5,5,6,1,0,1,7,0,8,
%U 8,7,6,8,1,7,5,1,8,0,7,8,5,4,4,7,0,4,5,3,4,2,1,1,1,8,4,6,4,8,2,8,1,0,3,0,9,6,8,6,0,0,5,0,4,3,7,1,7,4,8,2,3,1,6,1,1,2,2,1,2,6
%N Decimal expansion of (esqrt(4+e^2))/2.
%C Decimal expansion of the shape (= length/width = (esqrt(4+e^2))/2) of the lesser econtraction rectangle.
%C See A188738 for an introduction to lesser and greater rcontraction rectangles, their shapes, and partitioning these rectangles into a sets of squares in a manner that matches the continued fractions of their shapes.
%e 0.4386714553485326087582705944364891354570...
%t r = E; 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) (exp(1)sqrt(exp(2)4))/2 \\ _Charles R Greathouse IV_, Apr 25 2016
%Y Cf. A188738, A189040, A189041.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Apr 15 2011
%E a(129) corrected by _Georg Fischer_, Apr 04 2020
