A274085 Continued fraction for sixth root of 6.

1, 2, 1, 6, 1, 9, 1, 1, 1, 2, 4, 9, 4, 4, 2, 2, 1, 8, 1, 2, 21, 10, 1, 13, 4, 1, 6, 2, 10, 2, 2, 3, 1, 12, 3, 2, 1, 1, 2, 1, 9, 7, 3, 1, 4, 2, 8, 1, 11, 1, 2, 4, 3, 1, 7, 6, 1, 1, 1, 11, 1, 2, 1, 9, 1, 2, 1, 2, 9, 44, 1, 1, 1, 1, 34, 1, 12, 1, 3, 2, 3, 54, 1

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..2000

Index entries for continued fractions for constants

Example

6^(1/6) = 1 + 1/(2 + 1/(1 + 1/(6 + 1/(1 + ...)))).

Maple

numtheory:-cfracpol(x^6-6, 100)[2]; # Robert Israel, Jul 31 2016

Mathematica

ContinuedFraction[6^(1/6), {80}] (* Alonso del Arte, Jun 18 2016 *)

Prog

(PARI) default(realprecision, 210);  contfrac(6^(1/6))

Crossrefs

Cf. A011215.

Sequence in context: A007956 A107754 A181569 * A302129 A191093 A266303

Adjacent sequences: A274082 A274083 A274084 * A274086 A274087 A274088

Keyword

nonn,cofr

Author

Douglas de Araujo Smigly, Jun 09 2016

Status

approved