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A275615 Decimal expansion of 22/111. 0
1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8, 1, 9, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Period 3: repeat [1,9,8]. Also the digital root of Nexus numbers A022522.

Other variants of this period are decimal expansions of 91/111 (.819 repeating) and 109/111 (.981 repeating).

LINKS

Table of n, a(n) for n=0..101.

FORMULA

a(n) = A010888(A022522(n)).

a(n) = 6 - 5*cos(2*n*Pi/3) + sin(2*n*Pi/3)/sqrt(3). - Wesley Ivan Hurt, Oct 04 2018

EXAMPLE

0.198198198198198198198198198198198198198198198198198198198...

MATHEMATICA

First@ RealDigits@ N[22/111, 120] (* or *)

PadRight[{}, 120, {1, 9, 8}] (* or *)

FixedPoint[Total@ IntegerDigits@ # &, #] & /@ Table[(n + 1)^6 - n^6, {n, 0, 120}] (* Michael De Vlieger, Aug 04 2016 *)

PROG

(PARI) a(n) = my(x=[1, 9, 8]); x[n%3+1] \\ Felix Fröhlich, Aug 04 2016

CROSSREFS

Cf. A010888, A022522.

Sequence in context: A261025 A340207 A185260 * A249677 A094135 A021897

Adjacent sequences:  A275612 A275613 A275614 * A275616 A275617 A275618

KEYWORD

nonn,cons,easy

AUTHOR

Peter M. Chema, Aug 03 2016

STATUS

approved

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Last modified September 21 21:32 EDT 2021. Contains 347605 sequences. (Running on oeis4.)