A306079 - OEIS

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A306079

Decimal expansion of the fourth smallest known Salem number.

7

1, 2, 0, 2, 6, 1, 6, 7, 4, 3, 6, 8, 8, 6, 0, 4, 2, 6, 1, 1, 1, 8, 2, 9, 5, 4, 1, 5, 9, 4, 8, 6, 1, 9, 0, 4, 5, 3, 4, 3, 9, 4, 9, 8, 3, 4, 9, 6, 9, 5, 2, 3, 0, 4, 3, 6, 8, 5, 3, 0, 9, 5, 7, 6, 7, 2, 6, 4, 5, 4, 0, 6, 5, 8, 7, 6, 3, 6, 5, 5, 5, 3, 7, 7, 2, 6, 7, 1, 0, 8, 0, 0, 5, 5, 1, 8, 2, 6, 5, 7, 6, 7

(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

EXAMPLE

1.20261674368860426111829541594861904534394983496952304368530957672645...

MATHEMATICA

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

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

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

sigma4 = Root[p, x, 2];

RealDigits[sigma4, 10, 102][[1]]

CROSSREFS

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3).

Sequence in context: A363910 A139213 A344873 * A373167 A242860 A320239

Adjacent sequences: A306076 A306077 A306078 * A306080 A306081 A306082

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Jun 19 2018

STATUS

approved