A179615 -id:A179615 - cp's OEIS frontend

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

N. J. A. Sloane

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

			1.3160740129524924608192189...

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

Cf. A179615, continued fraction.

Cf. A076668, A011350, A289090, A289091.

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

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

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

A159824 Continued fraction for Pi^Pi (cf. A073233).

Original entry on oeis.org

36, 2, 6, 9, 2, 1, 2, 5, 1, 1, 6, 2, 1, 291, 1, 38, 50, 1, 2, 5, 4, 1, 2, 2, 1, 5, 1, 4, 13, 2, 1, 4, 3, 3, 1, 2, 25, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 3, 1, 43, 1, 2, 7, 3, 1, 1, 1, 2, 4, 2, 1, 1, 3, 1, 3, 3, 2, 2, 16, 3, 5, 2, 1, 5, 2, 1, 10, 1, 1, 3, 1, 13, 1, 1, 3, 1, 10, 4, 1, 1, 1, 38, 1, 2, 2, 1, 1, 3

Offset: 0

Harry J. Smith, Apr 30 2009

nonn

			36.4621596072079117709908260... = 36 + 1/(2 + 1/(6 + 1/(9 + 1/(2 + ...)))).

Harry J. Smith, Table of n, a(n) for n = 0..20000

Cf. A001076, A001203, A001204, A002945, A010767, A011002, A011003, A073233, A073238, A179613, A179615, A179616, A179617.

ContinuedFraction[Pi^Pi,200] (* Vladimir Joseph Stephan Orlovsky, Jul 20 2010 *)

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi^Pi); for (n=1, 20001, write("b159824.txt", n-1, " ", x[n])); }

Edited by N. J. A. Sloane, Jul 22 2010

A179616 Continued fraction for 5^(1/4).

Original entry on oeis.org

1, 2, 53, 4, 96, 2, 1, 6, 2, 2, 2, 6, 1, 4, 1, 49, 17, 2, 3, 2, 7, 2, 1, 1, 3, 1, 3, 2, 1, 2, 6, 11, 1, 8, 1, 1, 10, 1, 10, 2, 5, 1, 2, 1, 1, 4, 1, 3, 3, 2, 3, 5, 2, 1, 1, 1, 1, 1, 2, 4, 1, 3, 1, 1, 2, 5, 1, 4, 3, 1, 97, 2, 1, 176, 2, 1, 1, 11, 2, 2, 9, 5, 1, 5, 5, 3, 4, 1, 2, 1, 10, 1, 3, 1, 7, 2, 2, 1, 32

Offset: 0

Vladimir Joseph Stephan Orlovsky, Jul 20 2010

5^(1/4) = 1.4953487812212205419118989941409133953634...

Cf. A011003 (decimal expansion), A179613, A179615.

Mathematica
```
ContinuedFraction[5^(1/4),200]
```

Offset changed by Andrew Howroyd, Jul 07 2024

cp's OEIS Frontend

A011002 Decimal expansion of 4th root of 3.

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A159824 Continued fraction for Pi^Pi (cf. A073233).

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A179616 Continued fraction for 5^(1/4).

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