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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 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 FrÃ¶hlich, 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.)