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Decimal expansion of the fourth smallest known Salem number.
7

%I #4 Jun 19 2018 22:16:00

%S 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,

%T 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,

%U 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

%N Decimal expansion of the fourth smallest known Salem number.

%H M. J. Mossinghoff, <a href="http://www.cecm.sfu.ca/~mjm/Lehmer/lists/SalemList.html">Small Salem Numbers</a>

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/SalemConstants.html">Salem Constants.</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Salem_number">Salem number</a>

%e 1.20261674368860426111829541594861904534394983496952304368530957672645...

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

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

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

%t sigma4 = Root[p, x, 2];

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

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

%K nonn,cons

%O 1,2

%A _Jean-François Alcover_, Jun 19 2018