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%I #19 Sep 08 2022 08:45:56
%S 1,4,7,7,0,3,2,9,6,1,4,2,6,9,0,0,8,0,6,2,5,0,1,4,2,0,9,8,3,0,8,0,6,5,
%T 9,1,1,2,5,9,0,2,4,0,3,2,3,2,8,9,5,7,7,6,7,5,3,6,0,7,7,7,3,4,0,0,3,3,
%U 2,9,1,9,2,5,6,5,5,3,1,7,3,8,5,7,5,3,2,6,7,5,6,3,3,5,9,6,7,0,9,6,8,8,3,7,4,0,9,6,4,3,5,8,7,8,9,1,5,2,1,2,1,5,3,7,7,2,4,2,8,0
%N Decimal expansion of (2+sqrt(29))/5.
%C Decimal expansion of shape of a (4/5)-extension rectangle; see A188640 for definitions of shape and r-extension rectangle. Briefly, shape=length/width, and an r-extension rectangle is composed of two rectangles of shape 1/r when r<1.
%C The continued fractions of the constant are 1, 2, 10, 2, 1, 1, 2, 10, 2, 1, 1, 2, 10, 2, 1, 1, 2, 10, 2, 1, 1, 2...
%H G. C. Greubel, <a href="/A188730/b188730.txt">Table of n, a(n) for n = 1..10000</a>
%e 1.4770329614269008062501420983080659112590240323289577675360...
%p evalf((2+sqrt(29))/5,140); # _Muniru A Asiru_, Nov 01 2018
%t RealDigits[(2 + Sqrt[29])/5, 10, 111][[1]] (* _Robert G. Wilson v_, Aug 18 2011 *)
%o (PARI) default(realprecision, 100); (2+sqrt(29))/5 \\ _G. C. Greubel_, Nov 01 2018
%o (Magma) SetDefaultRealField(RealField(100)); (2+Sqrt(29))/5; // _G. C. Greubel_, Nov 01 2018
%Y Cf. A188640, A188658, A188659, A188729, A188730.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Apr 10 2011
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