A246711 Decimal expansion of the tenth root of 3.

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

Offset: 1

Author

Alonso del Arte, Sep 01 2014

Keywords

• nonn
• cons

Comments

An algebraic integer of degree 10; minimal polynomial x^10 - 3. - Charles R Greathouse IV, Apr 20 2016

Examples

			3^(1/10) = 1.1161231740339...
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000
• Index entries for algebraic numbers, degree 10

Crossrefs

Cf. A011446 (ninth root of 3), A011273 (nineteenth root of 9).

Programs

Mathematica

RealDigits[3^(1/10), 10, 108][[1]]

PARI

3^.1 \\ Charles R Greathouse IV, Apr 20 2016

Python

from sympy import integer_nthroot
def A246711(n): return integer_nthroot(3*10**(10*(n-1)),10)[0] % 10 # Chai Wah Wu, Mar 07 2022