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A266550
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Independence number of the n-Mycielski graph.
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3
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1, 1, 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, 3145727, 6291455, 12582911, 25165823, 50331647, 100663295, 201326591, 402653183, 805306367, 1610612735, 3221225471, 6442450943, 12884901887
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OFFSET
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1,3
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LINKS
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FORMULA
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G.f.: x + x^2*(1 - x + x^2)/((1 - x)*(1 - 2*x)).
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MATHEMATICA
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Table[Piecewise[{{-1 + 3 2^(n - 3), n > 2}}, 1], {n, 35}]
CoefficientList[Series[1 + x*(1 - x + x^2)/((1 - x)*(1 - 2*x)), {x, 0, 35}], x] (* Vincenzo Librandi, Jan 01 2016 *)
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PROG
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(Magma) [1, 1] cat [-1+3*2^(n-3): n in [3..40]]; /* or */ I:=[1, 1, 2, 5]; [n le 4 select I[n] else 3*Self(n-1)-2*Self(n-2): n in [1..40]]: // Vincenzo Librandi, Jan 01 2016
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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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STATUS
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approved
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