A005532 -id:A005532 - cp's OEIS frontend

A246708 Decimal expansion of the sixth root of 3.

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

Offset: 1

Alonso del Arte, Sep 01 2014

			3^(1/6) = 1.200936955176...

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Cf. A005532 (5th root of 3), A011265 (11th root of 9).

3^(1/6); // Wesley Ivan Hurt, Sep 02 2014

Digits:=100: evalf(3^(1/6)); # Wesley Ivan Hurt, Sep 02 2014

Mathematica
```
RealDigits[3^(1/6), 10, 108][[1]]
```

sqrtn(3,6) \\ Edward Jiang, Sep 01 2014

A011094 Decimal expansion of 5th root of 9.

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane

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

RealDigits[Surd[9,5],10,120][[1]] (* Harvey P. Dale, Jan 27 2014 *)

sqrtn(9,5) \\ Charles R Greathouse IV, Apr 16 2014

Equals A005532 ^2. - R. J. Mathar, Dec 17 2024

A003117 Continued fraction for fifth root of 3.

Original entry on oeis.org

1, 4, 14, 2, 1, 1, 3, 2, 29, 2, 1, 7, 1, 5, 2, 1, 1, 19, 12, 77, 2, 16, 2, 1, 1, 15, 1, 1, 3, 14, 5, 1, 3, 2, 1, 1, 1, 1, 1, 1, 5, 1, 463, 1, 379, 3, 5, 3, 11, 1, 7, 7, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 46, 17, 44, 1, 1, 1, 2, 24, 9, 1, 7, 4, 1, 2, 2, 1, 3, 2, 7, 1, 7, 1, 1, 2, 1, 1, 4, 1, 46, 8, 2

Offset: 0

N. J. A. Sloane

			1.24573093961551732596668033... = 1 + 1/(4 + 1/(14 + 1/(2 + 1/(1 + ...)))). - _Harry J. Smith_, May 12 2009

H. P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Harry J. Smith, Table of n, a(n) for n = 0..19999
Herman P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.
J. Shallit & N. J. A. Sloane, Correspondence 1974-1975
G. Xiao, Contfrac
Index entries for continued fractions for constants

Cf. A005532 (decimal expansion).

ContinuedFraction[Surd[3,5],120] (* Harvey P. Dale, Dec 15 2018 *)

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(3^(1/5)); for (n=1, 20000, write("b003117.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 12 2009

More terms from James Sellers, Sep 08 2000

Offset changed by Andrew Howroyd, Jul 05 2024

A011100 Decimal expansion of 5th root of 15.

Original entry on oeis.org

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

Offset: 1

N. J. A. Sloane

			1.7187719275874787770135214520444...

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

15^(1/5); // Vincenzo Librandi, Feb 16 2015

RealDigits[15^(1/5), 10, 105][[1]] (* Alonso del Arte, Feb 15 2015 *)

sqrtn(15,5) \\ Charles R Greathouse IV, Apr 16 2014

Equals A005532 * A005534 . - R. J. Mathar, May 22 2024

A018120 Powers of fifth root of 3 rounded down.

Original entry on oeis.org

1, 1, 1, 1, 2, 3, 3, 4, 5, 7, 9, 11, 13, 17, 21, 27, 33, 41, 52, 65, 81, 100, 125, 156, 195, 243, 302, 377, 469, 585, 729, 908, 1131, 1409, 1755, 2187, 2724, 3393, 4227, 5266, 6561, 8173, 10181, 12683, 15800, 19683, 24519, 30544, 38050, 47401, 59049, 73559, 91634, 114152, 142203, 177147

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Cf. A005532.

seq := [Floor(3^(n/5)) : n in [0..60]]; seq; // Vincenzo Librandi, Jun 12 2025

Table[Floor[(3^(1/5))^n],{n,0,50}] (* Vincenzo Librandi, Jun 12 2025 *)

cp's OEIS Frontend

A246708 Decimal expansion of the sixth root of 3.

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A011094 Decimal expansion of 5th root of 9.

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A003117 Continued fraction for fifth root of 3.

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A011100 Decimal expansion of 5th root of 15.

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A018120 Powers of fifth root of 3 rounded down.

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