A062979 Continued fraction for 2^sqrt(2), A007507.

2, 1, 1, 1, 72, 3, 4, 1, 3, 2, 1, 1, 1, 14, 1, 2, 1, 1, 3, 1, 3, 1, 2, 1, 1, 2, 1, 1, 1, 2, 9, 1, 2, 1, 4, 1, 1, 6, 4, 8, 1, 6, 2, 1, 1, 1, 1, 1, 5, 1, 6, 1, 1, 2, 2, 6, 68, 1, 3, 3, 4, 10, 8, 4, 1, 16, 10, 1, 1, 3, 1, 25, 2, 3, 2, 1, 3, 6, 2, 1, 2, 3, 29, 1, 4, 3, 4, 3, 2, 5, 2, 1, 1, 2, 13, 1, 8, 1, 4, 1

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..19999

Example

2^sqrt(2) = 2.66514414269022... = 2 + 1/(1 + 1/(1 + 1/(1 + 1/(72 + ...)))). - Harry J. Smith, Apr 21 2009

Mathematica

ContinuedFraction[2^Sqrt[2], 100] (* Harvey P. Dale, Oct 16 2012 *)

Prog

(PARI) contfrac(2^(sqrt(2)))
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(2^sqrt(2)); for (n=1, 20000, write("b062979.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 21 2009

Crossrefs

Cf. A007507 (decimal expansion).

Sequence in context: A067101 A105816 A329334 * A114781 A083890 A000989

Adjacent sequences: A062976 A062977 A062978 * A062980 A062981 A062982

Keyword

cofr,nonn

Author

Jason Earls, Jul 24 2001

Extensions

Offset changed by Andrew Howroyd, Aug 04 2024

Status

approved