%I #9 Mar 12 2019 14:58:10
%S 7,0,3,0,4,2,6,8,7,3,2,5,7,8,3,2,9,2,7,2,1,5,7,1,9,8,7,0,9,3,0,2,6,5,
%T 6,1,5,7,7,6,0,2,4,5,2,5,8,0,2,6,6,2,0,1,0,4,4,3,3,7,0,7,0,2,7,1,4,2,
%U 8,8,5,6,9,9,4,9,5,0,2,1,6,2,9,1,7,0,4
%N Decimal expansion of real number whose continued fraction expansion is [0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, ...] (the Thue-Morse sequence A001285).
%D J.-P. Allouche and J. Shallit, Automatic Sequences, Cambridge Univ. Press, 2003, p. 399, Th. 13.7.6.
%e 0.703042687325783292721571987...
%t RealDigits[FromContinuedFraction[Join[{0}, Nest[Flatten@Join[#, # /. {1 -> 2, 2 -> 1}] &, {1}, 20]]], 10, 100][[1]] (* _Amiram Eldar_, Mar 11 2019 after _Robert G. Wilson v_ at A001285 *)
%Y Cf. A001285.
%K nonn,cons
%O 0,1
%A _N. J. A. Sloane_, Mar 11 2019
%E More terms from _Amiram Eldar_, Mar 11 2019
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