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

Author

Jean-François Alcover, Jun 19 2018

Keywords

• nonn
• cons

Examples

			1.20261674368860426111829541594861904534394983496952304368530957672645...
		

Links

• M. J. Mossinghoff, Small Salem Numbers
• Eric Weisstein's MathWorld, Salem Constants.
• Wikipedia, Salem number
• Index entries for algebraic numbers, degree 14.

Crossrefs

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

Programs

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]]

PARI

polrootsreal(x^14 - x^12 - x^7 - x^2 + 1)[2] \\ Charles R Greathouse IV, Feb 11 2025