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

1,4

Comments

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

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 10

Example

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

Mathematica

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

Prog

(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

Crossrefs

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

Sequence in context: A365164 A153736 A165070 * A164809 A089128 A222215

Adjacent sequences: A246708 A246709 A246710 * A246712 A246713 A246714

Keyword

nonn,cons

Author

Alonso del Arte, Sep 01 2014

Status

approved