A030315 - OEIS

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A030315

Write n in base 2, complement each digit (d -> 1-d) and append the complemented digits to the sequence.

3

1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Eric W. Weisstein, Champernowne Constant.

FORMULA

a(n) = 1 - A030190(n). - Amiram Eldar, May 22 2023

EXAMPLE

To get the initial terms:

0 -> 1

1 -> 0

2 = 10 -> 0, 1

3 = 11 -> 0, 0

4 = 100 -> 0, 0, 1

5 = 101 -> 0, 1, 0,

...

and concatenating 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, ... gives the start of the sequence. - N. J. A. Sloane, Jan 30 2023

MATHEMATICA

Table[IntegerDigits[n, 2]/.{1->0, 0->1}, {n, 0, 30}]//Flatten (* Harvey P. Dale, Jan 30 2023 *)

CROSSREFS

Cf. A030190, A180433. [Jonathan Vos Post, Sep 05 2010]

Sequence in context: A269625 A359828 A359781 * A119498 A070912 A014108

Adjacent sequences: A030312 A030313 A030314 * A030316 A030317 A030318

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

EXTENSIONS

a(0)=1 added by Jonathan Vos Post, Sep 05 2010

Edited by N. J. A. Sloane, Jan 30 2023

STATUS

approved