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Decimal expansion of the positive real root r of 3*x^4 - 1.
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%I #16 Jul 27 2024 23:54:11

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

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

%U 2,2,3,3,1,7,1,0

%N Decimal expansion of the positive real root r of 3*x^4 - 1.

%C The other roots are -r and the complex conjugate pair r*i and -r*i.

%F r = (1/3)^(1/4) = (1/3)*27^(1/4).

%F Equals A011022/3.

%F Equals exp(-arctanh(1/2)/2). - _Amiram Eldar_, Jul 06 2023

%F Equals 1/A011002. - _Jason Yuen_, Jul 27 2024

%e 0.75983568565159254733118775065454533539677344888731031861128865370032223317...

%t RealDigits[Surd[1/3, 4], 10, 120][[1]] (* _Amiram Eldar_, Dec 07 2022 *)

%Y Cf. A011002, A011022.

%K nonn,cons,easy

%O 0,1

%A _Wolfdieter Lang_, Dec 04 2022