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A279321
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Period 7: repeat [1, 3, 5, 7, 5, 3, 1].
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2
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1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3, 5, 7, 5, 3, 1, 1, 3
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = abs(2n + 1 - 14*round((2n + 1)/14)).
a(n) = (25 + 2*( ((n+1) mod 7) + ((n+2) mod 7) + ((n+3) mod 7) - ((n+4) mod 7) - ((n+5) mod 7) - ((n+6) mod 7) ))/7. - Wesley Ivan Hurt, Dec 23 2016
G.f.: (1 + 2*x + x^2 + x^3)*(1 + x + 2*x^2 + x^3) / ((1 - x)*(1 + x + x^2 + x^3 + x^4 + x^5 + x^6)).
a(n) = a(n-7) for n>6.
(End)
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MAPLE
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MATHEMATICA
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With[{k = 14}, Table[Abs[2 n + 1 - k Round[(2 n + 1)/k]], {n, 0, 120}]] (* Michael De Vlieger, Dec 10 2016 *)
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PROG
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(Magma) &cat[[1, 3, 5, 7, 5, 3, 1]: n in [0..10]];
(PARI) Vec((1 + 2*x + x^2 + x^3)*(1 + x + 2*x^2 + x^3) / ((1 - x)*(1 + x + x^2 + x^3 + x^4 + x^5 + x^6)) + O(x^85)) \\ Colin Barker, Mar 21 2019
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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