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A156283
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Period 6: repeat [1, 2, 4, -4, -2, -1].
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2
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1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2, 4, -4, -2, -1, 1, 2
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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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G.f.: (1+x^4+3*x^3+7*x^2+3*x)/( (x+1)*(x^2-x+1)*(x^2+x+1) ). [Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009]
a(n) + a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) = 0 for n>4.
a(n) = cos(n*Pi) + 2*sqrt(3)*cos(n*Pi/6)*sin(n*Pi/6) - sqrt(3)*cos(n*Pi/2)*sin(n*Pi/6) + 3*sin(n*Pi/6)*sin(n*Pi/2). (End)
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MAPLE
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MATHEMATICA
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PadRight[{}, 80, {1, 2, 4, -4, -2, -1}] (* or *) LinearRecurrence[{-1, -1, -1, -1, -1}, {1, 2, 4, -4, -2}, 80] (* Harvey P. Dale, May 29 2013 *)
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PROG
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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