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Decimal expansion of the positive real root of x^6 - 2*x^5 + x^4 - x^2 + x - 1.
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%I #15 Jun 25 2024 05:27:12

%S 1,5,6,1,7,5,2,0,6,7,7,2,0,2,9,7,2,9,4,7,0,2,9,9,5,3,6,4,0,6,0,7,2,3,

%T 7,8,0,7,9,0,8,4,7,2,8,6,9,4,7,2,7,6,6,4,2,8,4,6,2,8,4,7,8,3,9,4,6,2,

%U 5,2,2,4,1,0,4,3,9,4,2,9,4,4,4,9,6,2,4,4,0,5

%N Decimal expansion of the positive real root of x^6 - 2*x^5 + x^4 - x^2 + x - 1.

%C Eighth smallest Pisot-Vijayaraghavan number.

%H Paolo Xausa, <a href="/A374002/b374002.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PisotNumber.html">Pisot Number</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Pisot%E2%80%93Vijayaraghavan_number">Pisot-Vijayaraghavan number</a>.

%H <a href="/index/Al#algebraic">Index entries for algebraic numbers</a>.

%e 1.561752067720297294702995364060723780790847286947...

%t First[RealDigits[Root[#^6 - 2*#^5 + #^4 - #^2 + # - 1 &, 2], 10, 100]]

%Y Cf. A060006, A086106, A228777, A092526, A293508, A293509, A293557, A293506, A374003.

%K nonn,cons

%O 1,2

%A _Paolo Xausa_, Jun 25 2024