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A316606
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Decimal expansion of the sixth smallest known Salem number.
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5
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1, 2, 1, 9, 7, 2, 0, 8, 5, 9, 0, 4, 0, 3, 1, 1, 8, 4, 4, 1, 6, 9, 6, 0, 6, 7, 6, 0, 4, 1, 4, 6, 7, 7, 9, 4, 4, 3, 9, 0, 4, 1, 5, 5, 0, 5, 5, 4, 1, 5, 6, 9, 6, 7, 8, 2, 8, 7, 9, 7, 4, 4, 1, 7, 8, 7, 3, 3, 8, 4, 6, 4, 5, 9, 9, 0, 8, 3, 9, 0, 6, 5, 8, 3, 5, 5, 3, 9, 3, 2, 0, 7, 8, 5, 1, 6, 2, 5, 9, 5, 7, 8
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..102.
M. J. Mossinghoff, Small Salem Numbers
Eric Weisstein's MathWorld, Salem Constants.
Wikipedia, Salem number
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FORMULA
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Equals root of p = 1 - x - x^8 + x^9 - x^10 - x^17 + x^18 with largest absolute value.
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EXAMPLE
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1.219720859040311844169606760414677944390415505541569678287974417873...
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MATHEMATICA
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c1 = {1, -1, 0, 0, 0, 0, 0, 0, -1, 1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma6 = Root[p, x, 2];
RealDigits[sigma6, 10, 102][[1]]
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CROSSREFS
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Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9), A316610 (sigma10).
Sequence in context: A245461 A086572 A349035 * A016632 A176400 A021459
Adjacent sequences: A316603 A316604 A316605 * A316607 A316608 A316609
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KEYWORD
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nonn,cons
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AUTHOR
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Jean-François Alcover, Jul 08 2018
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STATUS
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approved
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