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A316610 Decimal expansion of the tenth smallest known Salem number.

%I A316610 #7 Feb 16 2025 08:33:56
%S A316610 1,2,3,6,3,1,7,9,3,1,8,0,3,2,3,0,4,8,9,8,9,9,0,9,4,8,6,9,8,0,2,0,5,4,
%T A316610 5,5,3,9,4,4,8,1,9,2,0,8,3,6,7,8,6,9,5,6,3,7,9,4,7,5,3,7,8,4,1,1,1,8,
%U A316610 3,6,9,9,9,5,6,7,1,4,1,5,6,3,4,2,7,2,4,3,8,5,4,3,6,5,4,0,5,5,6,1,8,8
%N A316610 Decimal expansion of the tenth smallest known Salem number.
%H A316610 M. J. Mossinghoff, <a href="http://www.cecm.sfu.ca/~mjm/Lehmer/lists/SalemList.html">Small Salem Numbers</a>
%H A316610 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/SalemConstants.html">Salem Constants.</a>
%H A316610 Wikipedia, <a href="http://en.wikipedia.org/wiki/Salem_number">Salem number</a>
%H A316610 <a href="/index/Al#algebraic_16">Index entries for algebraic numbers, degree 16</a>.
%F A316610 p = 1 - x - x^8 - x^15 + x^16.
%e A316610 1.2363179318032304898990948698020545539448192083678695637947537841118...
%t A316610 c1 = {1, -1, 0, 0, 0, 0, 0, 0, -1};
%t A316610 c2 = Join[c1, Reverse[Most[c1]]];
%t A316610 p = (x^Range[0, Length[c2] - 1]).c2;
%t A316610 sigma10 = Root[p, x, 2];
%t A316610 RealDigits[sigma10, 10, 102][[1]]
%o A316610 (PARI) polrootsreal(1 - x - x^8 - x^15 + x^16)[2] \\ _Charles R Greathouse IV_, Feb 11 2025
%Y A316610 Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9).
%K A316610 nonn,cons
%O A316610 1,2
%A A316610 _Jean-François Alcover_, Jul 08 2018