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A279319
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Period 16 zigzag sequence: repeat [0,1,2,3,4,5,6,7,8,7,6,5,4,3,2,1].
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8
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0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..85.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,-1,1).
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FORMULA
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a(n) = abs(n - 16*round(n/16)).
G.f.: x*(1 + x)*(1 + x^2)*(1 + x^4)/((1 - x)*(1 + x^8)). - Ilya Gutkovskiy, Dec 10 2016
a(n) = a(n-1)-a(n-8)+a(n-9). - Wesley Ivan Hurt, Nov 18 2021
a(n) = a(n-16) for n >= 16. - Wesley Ivan Hurt, Sep 07 2022
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MATHEMATICA
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PadRight[{}, 120, {0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1}] (* Vincenzo Librandi, Dec 10 2016 *)
With[{k = 16}, Table[Min[Abs[# - k], #] &@ Mod[n, k], {n, 0, 120}]] (* or *)
CoefficientList[Series[x (1 + x) (1 + x^2) (1 + x^4)/((1 - x) (1 + x^8)), {x, 0, 120}], x] (* Michael De Vlieger, Dec 10 2016 *)
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PROG
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(Magma) &cat[[0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1]: n in [0..5]];
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CROSSREFS
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Period k zigzag sequences: A000035 (k=2), A007877 (k=4), A260686 (k=6), A266313 (k=8), A271751 (k=10), A271832 (k=12), A279313 (k=14), this sequence (k=16), A158289 (k=18).
Sequence in context: A234344 A331298 A325351 * A171890 A287793 A073795
Adjacent sequences: A279316 A279317 A279318 * A279320 A279321 A279322
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KEYWORD
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nonn,easy
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AUTHOR
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Wesley Ivan Hurt, Dec 09 2016
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STATUS
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approved
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