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A172051
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Decimal expansion of 1/999999.
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3
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0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0
(list;
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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Period 6: repeat [0, 0, 0, 0, 0, 1].
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LINKS
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FORMULA
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a(n) = 1 if (n+1) mod 6 = 0 else 0.
a(n) = (n-2)*(Fibonacci(n-2)-1) mod 2. [Gary Detlefs, Dec 29 2010]
a(n) = a(n-6) for n>5.
a(n) = (3 - 3*cos(n*Pi) + 6*cos(n*Pi/3) + 6*cos((n-4)*Pi/3) - 2*sqrt(3)*sin(2*n*Pi/3) - 2*sqrt(3)*sin((1+2*n)*Pi/3))/18. (End)
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MAPLE
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MATHEMATICA
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Join[{0, 0, 0, 0, 0}, RealDigits[1/999999, 10, 120][[1]]] (* or *) PadRight[ {}, 120, {0, 0, 0, 0, 0, 1}] (* Harvey P. Dale, Oct 24 2013 *)
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PROG
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(Magma) [n mod (1 + ((n-1) mod 3)) : n in [0..100]]; // Wesley Ivan Hurt, Aug 29 2014
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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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