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Decimal expansion of the real root of x^5 - x^3 - 1.
3

%I #7 Dec 20 2022 11:45:31

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

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

%U 6,1,4,3,5,6,1,8

%N Decimal expansion of the real root of x^5 - x^3 - 1.

%C The other (complex) roots are 0.340794866197006415... + 0.785423103049449080...*i and -0.959047717892755927... + 0.428365956254189316...*i, and their conjugates.

%e 1.23650570339149902433757480097614678268104294354611496776617384170726143...

%t RealDigits[x /. FindRoot[x^5 - x^3 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* _Amiram Eldar_, Dec 15 2022 *)

%Y Cf. A160155, A230152, A358939, A358941, A358942.

%K nonn,cons

%O 1,2

%A _Wolfdieter Lang_, Dec 12 2022