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A275615
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Decimal expansion of 22/111.
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0
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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
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OFFSET
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0,2
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COMMENTS
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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).
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LINKS
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FORMULA
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a(n) = 6 - 5*cos(2*n*Pi/3) + sin(2*n*Pi/3)/sqrt(3). - Wesley Ivan Hurt, Oct 04 2018
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EXAMPLE
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0.198198198198198198198198198198198198198198198198198198198...
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MATHEMATICA
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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 *)
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PROG
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(PARI) a(n) = my(x=[1, 9, 8]); x[n%3+1] \\ Felix Fröhlich, Aug 04 2016
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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