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A316608 Decimal expansion of the eighth smallest known Salem number. 5
1, 2, 3, 2, 6, 1, 3, 5, 4, 8, 5, 9, 3, 1, 2, 1, 0, 0, 3, 9, 6, 2, 7, 3, 1, 6, 9, 4, 8, 0, 7, 9, 0, 9, 7, 9, 1, 4, 1, 1, 5, 7, 7, 3, 7, 1, 2, 0, 9, 8, 3, 1, 0, 4, 6, 7, 2, 9, 9, 1, 6, 5, 8, 2, 0, 5, 3, 8, 3, 9, 3, 5, 1, 3, 7, 3, 8, 9, 5, 7, 0, 3, 1, 3, 4, 9, 7, 8, 4, 8, 8, 5, 3, 0, 3, 2, 4, 9, 2, 2, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..102.

M. J. Mossinghoff, Small Salem Numbers

Eric Weisstein's MathWorld, Salem Constants.

Wikipedia, Salem number

FORMULA

p = 1 - x - x^5 + x^6 - x^9 + x^10 - x^11 + x^14 - x^15 - x^19 + x^20.

EXAMPLE

1.2326135485931210039627316948079097914115773712098310467299165820538...

MATHEMATICA

c1 = {1, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1};

c2 = Join[c1, Reverse[Most[c1]]];

p = (x^Range[0, Length[c2] - 1]).c2;

sigma8 = Root[p, x, 2];

RealDigits[sigma8, 10, 102][[1]]

CROSSREFS

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316609 (sigma9), A316610 (sigma10).

Sequence in context: A078599 A183103 A183105 * A033031 A134060 A197289

Adjacent sequences:  A316605 A316606 A316607 * A316609 A316610 A316611

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 08 2018

STATUS

approved

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Last modified May 23 12:38 EDT 2019. Contains 323514 sequences. (Running on oeis4.)