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: 0

Author

Douglas de Araujo Smigly, Jun 09 2016

Keywords

• nonn
• cofr

Examples

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

Links

• Robert Israel, Table of n, a(n) for n = 0..1999
• Index entries for continued fractions for constants

Crossrefs

Cf. A011215 (decimal expansion).

Programs

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 *)

PARI

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