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A316605 Decimal expansion of the fifth smallest known Salem number. 5
1, 2, 1, 6, 3, 9, 1, 6, 6, 1, 1, 3, 8, 2, 6, 5, 0, 9, 1, 6, 2, 6, 8, 0, 6, 3, 1, 1, 1, 9, 9, 4, 6, 3, 3, 2, 7, 7, 2, 2, 2, 5, 3, 6, 0, 6, 5, 7, 0, 5, 7, 0, 7, 5, 7, 5, 6, 0, 4, 2, 7, 0, 6, 5, 8, 3, 8, 3, 1, 2, 1, 2, 9, 4, 6, 1, 8, 4, 9, 5, 9, 4, 4, 2, 6, 3, 7, 9, 6, 6, 6, 7, 0, 9, 5, 4, 3, 9, 5, 4, 2, 8 (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^4 - x^5 - x^6 + x^10.

EXAMPLE

1.21639166113826509162680631119946332772225360657057075756042706583831...

MATHEMATICA

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

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

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

sigma5 = Root[p, x, 2];

RealDigits[sigma5, 10, 102][[1]]

CROSSREFS

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3), A306079 (sigma4), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9), A316610 (sigma10).

Sequence in context: A124441 A284475 A285355 * A307178 A026191 A050137

Adjacent sequences:  A316602 A316603 A316604 * A316606 A316607 A316608

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 08 2018

STATUS

approved

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Last modified May 26 22:57 EDT 2019. Contains 323597 sequences. (Running on oeis4.)