A363360 Decimal expansion of real number [0,1,1,0,...] formed by taking the Thue-Morse sequence (A010060) as partial quotients of a continued fraction.

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

Offset

0,1

Comments

Alternatively, the real number formed by taking the continued fraction whose partial quotients are 0, followed by the terms of A026465.

The reciprocal of the real number given by A363361.

Links

Table of n, a(n) for n=0..84.

Example

0.72111052541426068498049...

Mathematica

First[RealDigits[FromContinuedFraction[ThueMorse[Range[0, 550]]], 10, 100]] (* Paolo Xausa, Apr 04 2024 *)

Crossrefs

Cf. A010060, A026465, A363361.

Sequence in context: A153589 A340617 A010505 * A020844 A001204 A177969

Adjacent sequences: A363357 A363358 A363359 * A363361 A363362 A363363

Keyword

cons,nonn

Author

Jeffrey Shallit, May 28 2023

Status

approved