A306079 Decimal expansion of the fourth smallest known Salem number.

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

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