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

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

0,3

Comments

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

Links

Table of n, a(n) for n=0..80.

Example

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

Mathematica

ContinuedFraction[Pi^(1/3)]

Prog

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

Crossrefs

Cf. A092039, A093204.

Sequence in context: A059813 A097099 A316622 * A065529 A205015 A204937

Adjacent sequences: A197108 A197109 A197110 * A197112 A197113 A197114

Keyword

nonn,cofr

Author

Michael Lee, Oct 10 2011

Status

approved