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A131533
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Period 6: repeat 0,0,0,0,1,-1.
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1
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0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (-1,-1,-1,-1,-1).
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FORMULA
| a(n)=(1/6)*{-(n mod 6)+2*[(n+1) mod 6]-[(n+2) mod 6]}, with n>=0. - Paolo P. Lava (paoloplava(AT)gmail.com), Aug 28 2007
G.f.: x^4/((x+1)*(x^2+x+1)*(x^2-x+1)). - R. J. Mathar, Nov 14 2007
a(n) = -cos(Pi*n/3)/3 +sin(2*Pi*n/3)/sqrt(3) +(-1)^n/3. - R. J. Mathar, Oct 08 2011
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MATHEMATICA
| PadRight[{}, 108, {0, 0, 0, 0, 1, -1}] (* From Harvey P. Dale, Jan 27 2012 *)
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PROG
| (PARI) a(n)=[0, 0, 0, 0, 1, -1][n%6+1] \\ Charles R Greathouse IV, Jun 02 2011
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CROSSREFS
| Sequence in context: A011665 A059437 A152592 * A131532 A085114 A011661
Adjacent sequences: A131530 A131531 A131532 * A131534 A131535 A131536
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KEYWORD
| sign,easy,less
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Aug 26 2007
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 15 2007
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