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