A011002 Decimal expansion of 4th root of 3.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Also 8th root of 9. - Alonso del Arte, Dec 06 2011

The 4th root r(4) of the expected value E(x^4) for a normal distribution with zero mean and standard deviation 1. See A289090 for more details. - Stanislav Sykora, Jul 26 2017

Examples

			1.3160740129524924608192189...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000
• Index entries for algebraic numbers, degree 4

Crossrefs

Cf. A179615, continued fraction.

Cf. A076668, A011350, A289090, A289091.

Programs

Mathematica

RealDigits[3^(1/4), 10, 100][[1]]

PARI

sqrtn(3,4) \\ Charles R Greathouse IV, Apr 14 2014

Formula

Equals exp(arctanh(1/2)/2). - Amiram Eldar, Jul 10 2023