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%I #25 Dec 21 2023 10:22:10
%S 1,2,1,9,8,0,3,9,0,2,7,1,8,5,5,6,9,6,6,0,0,5,6,4,4,8,2,1,8,0,4,5,5,6,
%T 3,9,7,9,1,2,7,5,4,1,8,9,2,1,9,9,1,9,2,8,1,5,1,6,9,9,4,1,6,0,8,8,5,1,
%U 8,6,7,2,6,4,1,2,4,4,4,8,3,9,1,1,7,6,6,9,7,7,0,2,1,8,7,8,6,4,0,1,6,7,2,2,3,8,0,5,1,6,4,8,2,0,7,9,8,2,1,3,2,2,8,6,3,5,5,8,6,8
%N Decimal expansion of (1+sqrt(26))/5.
%C Decimal expansion of the shape of a (2/5)-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 fraction of the constant is 1, 4, 1, 1, 4, 1, ... = A146325.
%F Equals exp(arcsinh(1/5)). - _Amiram Eldar_, Jul 04 2023
%e 1.219803902718556966005644821804556397912754189219919281516994...
%t RealDigits[(1 + Sqrt[26])/5, 10, 111][[1]] (* _Robert G. Wilson v_, Aug 18 2011 *)
%Y Cf. A146325, A188640, A188658, A188729, A188730, A010481.
%K nonn,cons,easy
%O 1,2
%A _Clark Kimberling_, Apr 09 2011
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