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Decimal expansion of the positive real root of x^8 - x^7 - x^6 + x^2 - 1.
3

%I #14 Jun 25 2024 05:27:35

%S 1,5,7,3,6,7,8,9,6,8,3,9,3,5,1,6,9,8,8,7,7,4,2,5,1,4,1,8,6,2,9,3,2,1,

%T 4,6,7,8,1,2,7,0,4,0,6,1,5,0,7,9,1,3,4,0,8,9,3,7,2,7,4,3,7,0,0,5,1,2,

%U 1,1,2,9,7,4,4,8,7,9,0,4,7,1,8,8,1,5,4,8,8,3

%N Decimal expansion of the positive real root of x^8 - x^7 - x^6 + x^2 - 1.

%C Tenth smallest Pisot-Vijayaraghavan number.

%H Paolo Xausa, <a href="/A374003/b374003.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 1.5736789683935169887742514186293214678127040615079...

%t First[RealDigits[Root[#^8 - #^7 - #^6 + #^2 - 1 &, 2], 10, 100]]

%Y Cf. A060006, A086106, A228777, A092526, A293508, A293509, A293557, A374002, A293506.

%K nonn,cons

%O 1,2

%A _Paolo Xausa_, Jun 25 2024