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A174784
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Expansion of x*(1-x+x^3+x^4)/(1+x^6) (Period 12).
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1
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0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, 1, 1, 0
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OFFSET
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0,1
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COMMENTS
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Hankel transform of A174783 is -a(n).
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LINKS
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FORMULA
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a(n) = -cos(5*Pi*n/6)/3 + sin(5*Pi*n/6)/3 - cos(Pi*n/6)/3 + sin(Pi*n/6)/3 + 2*cos(Pi*n/2)/3 + 2*sin(Pi*n/2)/3.
G.f.: x*(1-x+x^3+x^4) / ( (1+x^2)*(x^4-x^2+1) ). - R. J. Mathar, Feb 10 2015
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, -1}, {0, 1, -1, 0, 1, 1}, 100] (* or *) PadRight[ {}, 120, {0, 1, -1, 0, 1, 1, 0, -1, 1, 0, -1, -1}] (* Harvey P. Dale, Feb 25 2017 *)
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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