A093204 -id:A093204 - cp's OEIS frontend

A092039 Decimal expansion of cube root of Pi.

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

Offset: 1

Mohammad K. Azarian, Mar 27 2004

This is the diameter of a sphere with volume = (Pi^2)/6 = zeta(2) = A013661. - Eric Desbiaux, Jan 21 2009

Edge of a cube with volume Pi. - Omar E. Pol, Aug 09 2012

			1.4645918875615232630...

G. C. Greubel, Table of n, a(n) for n = 1..5000
Index entries for transcendental numbers

Cf. A000796 (Pi), A091925 (Pi^3), A093204 (Pi^(-1/3)), A002161 (sqrt(Pi)), A197111 (cont.frac.).

Maple
```
evalf(root[3](Pi)) ;
```

RealDigits[N[Pi^(1/3),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 27 2012 *)

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

1/A093204. - M. F. Hasler, Oct 07 2014

A197111 Continued fraction for cube root of Pi and its inverse.

Original entry on oeis.org

0, 1, 2, 6, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 2, 7, 1, 5, 5, 53, 3, 29, 3, 2, 6, 1, 1, 2, 1, 4, 8, 3, 2, 2, 1, 13, 1, 3, 1, 2, 1, 1, 1, 1, 2, 11, 4, 1, 37, 1, 142, 2, 1, 1, 8, 1, 19, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 24, 1, 1, 1, 7, 1, 55, 9, 1, 1, 1, 224, 2

Offset: 0

Michael Lee, Oct 10 2011

Starting with a(0) this is the cont.frac. of Pi^(-1/3), and starting with a(1) the cont.frac. of Pi^(1/3). - M. F. Hasler, Oct 07 2014

			Pi^(1/3) = 1.4645918875615232630201425272637903917385968556279371743572...

Cf. A092039, A093204.

Mathematica
```
ContinuedFraction[Pi^(1/3)]
```

contfrac(Pi^(-1/3)) \\ M. F. Hasler, Oct 07 2014

A248524 Beatty sequence for 1/(1-Pi^(-1/3)).

Original entry on oeis.org

3, 6, 9, 12, 15, 18, 22, 25, 28, 31, 34, 37, 40, 44, 47, 50, 53, 56, 59, 63, 66, 69, 72, 75, 78, 81, 85, 88, 91, 94, 97, 100, 104, 107, 110, 113, 116, 119, 122, 126, 129, 132, 135, 138, 141, 145, 148, 151, 154, 157, 160, 163, 167, 170, 173, 176, 179, 182

Offset: 1

M. F. Hasler, Oct 07 2014

nonn

Beatty complement of A240977.

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A092039 (Pi^(1/3)), A093204 (Pi^(-1/3)), A022844 (Beatty seq. for Pi), A037086 (Beatty seq. for sqrt(Pi)).

Table[Floor[n/(1 - Pi^(-1/3))], {n, 1, 50}] (* G. C. Greubel, Apr 06 2017 *)

PARI
```
a(n)=n\(1-Pi^(-1/3))
```

a(n) = floor(n/(1-Pi^(-1/3))).

cp's OEIS Frontend

A092039 Decimal expansion of cube root of Pi.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Maple

Mathematica

PARI

Formula

A197111 Continued fraction for cube root of Pi and its inverse.

Views

Author

Keywords

Comments

Examples

Crossrefs

Programs

Mathematica

PARI

A248524 Beatty sequence for 1/(1-Pi^(-1/3)).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

PARI

Formula