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6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 128, 130, 132, 134, 136, 138
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OFFSET
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0,1
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COMMENTS
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Pisot sequence T(6,8).
Trivial case of a Pisot sequence satisfying a simple linear recurrence. Here, since round((2n+2)^2/(2n)^2) = 2n + round((n+1)/n^2) = 2n for n>2, a(n) is even and a(n) = a(n-1) + 2. - Ralf Stephan, Sep 03 2013
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LINKS
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FORMULA
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a(n) = 2a(n-1) - a(n-2).
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MATHEMATICA
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2*Range[0, 70]+6 (* or *) Range[6, 138, 2] (* Harvey P. Dale, Apr 24 2017 *)
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CROSSREFS
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Subsequence of A005843. See A008776 for definitions of Pisot sequences.
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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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