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%I #10 Aug 23 2021 15:58:26
%S 1,0,6,1,2,7,5,0,6,1,9,0,5,0,3,5,6,5,2,0,3,3,0,1,8,9,1,6,2,1,3,5,7,3,
%T 4,8,5,8,0,6,7,8,5,4,9,8,9,3,8,6,3,3,6,9,6,3,9,7,2,1,0,2,8,1,5,1,2,8,
%U 6,0,8,6,1,7,1,1,6,4,2,0,5,6,1,5,5,3,6
%N Decimal expansion of arccosh(phi) where phi is the golden ratio (1 + sqrt(5))/2.
%C This is the edge length of the {5,4} pentagonal tiling of the hyperbolic plane of curvature -1. This is also the edge length of both the (3,3,3,3,4,4) uniform tiling and the (3,3,3,4,3,4) uniform tiling of the hyperbolic plane of curvature -1.
%H Reddit user Marek14, <a href="https://www.reddit.com/r/math/comments/p9980a/">The most interesting number in hyperbolic tilings</a>.
%e 1.06127506190503565203301891621357348580678549893863...
%t RealDigits[ArcCosh[GoldenRatio], 10, 100][[1]] (* _Amiram Eldar_, Aug 23 2021 *)
%o (PARI) acosh((1+sqrt(5))/2) \\ _Michel Marcus_, Aug 23 2021
%Y Cf. A001622 (phi).
%K nonn,cons
%O 1,3
%A _Peter Kagey_, Aug 22 2021
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