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Decimal expansion of real number [1,0,0,1,...] formed by taking the complementary Thue-Morse sequence (A010059) as partial quotients of a continued fraction.
2

%I #29 Apr 04 2024 17:24:36

%S 1,3,8,6,7,4,9,9,7,0,7,1,4,3,0,0,7,0,6,1,7,1,5,2,4,8,0,3,4,8,5,5,8,0,

%T 9,3,9,6,6,1,4,4,7,6,1,5,5,6,3,0,7,7,5,0,5,1,4,7,5,0,2,8,0,5,6,8,1,2,

%U 2,4,0,7,0,7,5,8,0,5,2,9,0,9,1,2,2,6,8

%N Decimal expansion of real number [1,0,0,1,...] formed by taking the complementary Thue-Morse sequence (A010059) as partial quotients of a continued fraction.

%C Alternatively, the real number formed by taking the continued fraction whose partial quotients are the terms of A026465.

%C The reciprocal of the real number given by A363360.

%e 1.3867499707143007061715248...

%t First[RealDigits[FromContinuedFraction[1 - ThueMorse[Range[0, 550]]], 10, 100]] (* _Paolo Xausa_, Apr 04 2024 *)

%Y Cf. A010059, A026465, A363360.

%Y Essentially the same as A187061.

%K cons,nonn

%O 1,2

%A _Jeffrey Shallit_, May 28 2023