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A285686 Characteristic sequence of the Beatty sequence, A022840, of sqrt(6). 1
0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1

COMMENTS

The positions of 0 are given by A138235, and of 1, by A022840.

(a(n)) is fixed point of the morphism 0 -> 01010, 1 -> 01010010100101001. - Michel Dekking, May 29 2017

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

D. Crisp, W. Moran, A. Pollington, P. Shiue, Substitution invariant cutting sequences, Journal de théorie des nombres de Bordeaux 5, (1993), p. 123-137.

FORMULA

a(n) = floor((n+1)r) - floor(nr), where r = sqrt(6)/6. - corrected and simplified by Michel Dekking, May 29 2017

MATHEMATICA

r = Sqrt[6]/6; 1 - Table[Floor[(n + 1) r] - Floor[n r]], {n, 1, 200}]

CROSSREFS

Cf. A022840, A138235.

Sequence in context: A189661 A145573 A092202 * A303591 A159684 A244221

Adjacent sequences:  A285683 A285684 A285685 * A285687 A285688 A285689

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 11 2017

STATUS

approved

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Last modified September 16 08:52 EDT 2019. Contains 327092 sequences. (Running on oeis4.)