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A167817
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Period 4: repeat [1, 3, 3, 3].
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3
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1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1
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OFFSET
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0,2
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COMMENTS
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Denominator of x(n) = x(n-1) + x(n-2), x(0)=0, x(1)=1/3; numerator = A167816(n).
Continued fraction expansion of (33 + sqrt(2805))/66. - Klaus Brockhaus, May 06 2010
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LINKS
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FORMULA
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a(n) = 3 - 2 * 0^(n mod 4).
a(n) = 5/2 - cos(Pi*n/2) - (-1)^n/2. - R. J. Mathar, Oct 08 2011
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MAPLE
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MATHEMATICA
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Denominator[LinearRecurrence[{1, 1}, {0, 1/3}, 110]] (* or *) PadRight[{}, 110, {1, 3, 3, 3}] (* Harvey P. Dale, Dec 07 2014 *)
LinearRecurrence[{0, 0, 0, 1}, {1, 3, 3, 3}, 105] (* Ray Chandler, Aug 03 2015 *)
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PROG
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CROSSREFS
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KEYWORD
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frac,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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