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A153349
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Period 6: repeat [1, 7, 4, 4, 7, 1].
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2
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1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4, 4, 7, 1, 1, 7, 4
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OFFSET
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0,2
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COMMENTS
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Also: the decimal expansion of 5287/30303. [R. J. Mathar, Jan 03 2009]
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LINKS
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FORMULA
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G.f.: (x^4+6*x^3-2*x^2+6*x+1)/((1-x)*(x^2-x+1)*(1+x+x^2)). a(n) = 4 + 3*A099837(n+2)/2 + 3*A010892(n+4)/2. [R. J. Mathar, Jan 03 2009]
a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) for n>4.
a(n) = (8 - 3*cos(n*Pi/3) - 3*cos(2*n*Pi/3) + sqrt(3)*sin(n*Pi/3) + 3*sqrt(3)*sin(2*n*Pi/3))/2. (End)
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MAPLE
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MATHEMATICA
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PROG
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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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EXTENSIONS
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STATUS
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approved
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