%I
%S 5,2,4,5,9,4,0,0,5,2,7,7,0,7,5,9,8,5,6,4,6,1,1,4,6,6,8,6,1,6,3,7,6,9,
%T 7,2,6,8,5,1,4,7,1,9,8,5,3,0,1,5,6,2,6,8,8,1,9,8,6,6,1,8,7,8,6,3,8,4,
%U 4,4,1,7,2,2,5,7,8,7,4,0,4,7,3,8,9,8,7,2,8,5,0,0,5,9,2,9,5,7,5,5,1,9,9,5,0,0,2,5,9,8,6,8,4,2,4,1,3,5,0,8,4,0,4,2,1,9,7,2,2,3
%N Decimal expansion of e+sqrt(e^21).
%C Decimal expansion of the shape of a greater 2econtraction rectangle; see A188738 for an introduction to lesser and greater rcontraction rectangles, their shapes, and the partitioning of these rectangles into sets of squares in a manner that matches the continued fractions of their shapes.
%H G. C. Greubel, <a href="/A188739/b188739.txt">Table of n, a(n) for n = 1..10000</a>
%F e+sqrt(1+e^2), with continued fraction A188627.
%e 5.24594005277075985646114668616376972685147198530... = 1/A188738 .
%t r = 2 E; t = (r + (4 + r^2)^(1/2))/2; FullSimplify[t]
%t N[t, 130]
%t RealDigits[N[t, 130]][[1]] (* A188739 *)
%t ContinuedFraction[t, 120] (* A188627 *)
%o (PARI) default(realprecision, 100); exp(1) + sqrt(exp(2)  1) \\ _G. C. Greubel_, Nov 01 2018
%o (MAGMA) SetDefaultRealField(RealField(100)); Exp(1) + Sqrt(Exp(2) 1); // _G. C. Greubel_, Nov 01 2018
%Y Cf. A188738 (inverse), A188627 (continued fraction).
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Apr 11 2011
