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A316609
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Decimal expansion of the ninth smallest known Salem number.
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5
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1, 2, 3, 5, 6, 6, 4, 5, 8, 0, 3, 8, 9, 7, 4, 7, 3, 0, 8, 1, 0, 5, 1, 6, 9, 3, 5, 1, 5, 3, 1, 2, 6, 3, 4, 7, 9, 7, 2, 3, 5, 1, 0, 0, 4, 2, 7, 4, 6, 2, 3, 9, 0, 7, 7, 6, 5, 0, 4, 3, 8, 0, 7, 7, 2, 0, 6, 3, 1, 1, 9, 2, 4, 9, 4, 0, 2, 7, 8, 1, 4, 9, 8, 8, 9, 1, 6, 6, 0, 7, 4, 0, 4, 2, 6, 3, 8, 5, 9, 2, 5
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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..101.
M. J. Mossinghoff, Small Salem Numbers
Eric Weisstein's MathWorld, Salem Constants.
Wikipedia, Salem number
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FORMULA
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p = 1 - x^2 - x^3 + x^7 + x^8 - x^10 - x^11 - x^12 + x^14 + x^15 - x^19 - x^20 + x^22.
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EXAMPLE
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1.2356645803897473081051693515312634797235100427462390776504380772063...
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MATHEMATICA
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c1 = {1, 0, -1, -1, 0, 0, 0, 1, 1, 0, -1, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma9 = Root[p, x, 2];
RealDigits[sigma9, 10, 101][[1]]
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CROSSREFS
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Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316610 (sigma10).
Sequence in context: A001600 A175578 A347861 * A307327 A000036 A165081
Adjacent sequences: A316606 A316607 A316608 * A316610 A316611 A316612
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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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