A010590 -id:A010590 - cp's OEIS frontend

A011014 Decimal expansion of 4th root of 18.

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

Offset: 1

N. J. A. Sloane

			2.0597671439071177558302772552010107801...

Ivan Panchenko, Table of n, a(n) for n = 1..1000

Cf. A010474, A010590.

RealDigits[18^(1/4), 10, 100][[1]] (* Alonso del Arte, Nov 18 2016 *)

sqrtn(18,4) \\ Charles R Greathouse IV, Apr 15 2014

A011395 Decimal expansion of 6th root of 18.

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane

			1.61887040686056665193034800527...

Ivan Panchenko, Table of n, a(n) for n = 1..1000
Index entries for algebraic numbers, degree 6

Cf. A010474, A010590.

RealDigits[18^(1/6), 10, 100][[1]] (* Alonso del Arte, Nov 18 2016 *)

sqrtn(18,6) \\ Charles R Greathouse IV, Nov 26 2024

Last two digits corrected by Ivan Panchenko, Sep 06 2014

A358943 Decimal expansion of the real root of 3*x^3 - 2.

Original entry on oeis.org

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

Offset: 0

Wolfdieter Lang, Jan 02 2023

This number is the reciprocal of A319034.

The other (complex) roots are, with the present number r = (2/3)^(1/3), r*w = -0.4367902323... + 0.7565428747...*i, and its conjugate, where w = exp(2*Pi*i/3) = (-1 + sqrt(3)*i)/2 is one of the complex roots of x^3 - 1.

			0.87358046473629886904722042681399875674647588190787724170092460190956...

Cf. A010590, A319034.

RealDigits[Surd[2/3, 3], 10, 100][[1]] (* Amiram Eldar, Jan 05 2023 *)

(2/3)^(1/3) \\ Michel Marcus, Jan 05 2023

r = (2/3)^(1/3) = 1/A319034 = (1/3)*18^(1/3) = (1/3)*A010590.

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A011014 Decimal expansion of 4th root of 18.

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A011395 Decimal expansion of 6th root of 18.

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A358943 Decimal expansion of the real root of 3*x^3 - 2.

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