A051008 - OEIS

A051008

Continued fraction expansion of sqrt(2*log(2)).

1, 5, 1, 1, 1, 3, 27, 1, 1, 1, 1, 24, 1, 3, 1, 24, 1, 6, 1, 8, 1, 11, 1, 3, 1079, 1, 3, 1, 1, 6, 1, 3, 10, 167, 1, 5, 1, 1, 2, 4, 6, 2, 1, 3, 2, 1, 2, 2, 9, 4, 5, 1, 20, 1, 3, 1, 2, 1, 19, 12, 4, 2, 1, 2, 4, 46, 2, 3, 20, 2, 1, 1, 2, 1, 5, 1, 1, 1, 1, 1, 1, 2, 3, 2, 6, 1, 2, 1, 13, 12, 4, 2, 1, 2, 19, 2, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

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

Index entries for continued fractions for constants

EXAMPLE

1.177410022515474691011569326... = 1 + 1/(5 + 1/(1 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Sep 20 2009

MATHEMATICA

ContinuedFraction[Sqrt[2Log[2]], 100] (* Harvey P. Dale, Aug 10 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(2*log(2))); for (n=1, 20000, write("b051008.txt", n-1, " ", x[n])) } \\ Harry J. Smith, Sep 20 2009

(Magma) SetDefaultRealField(RealField(150)); ContinuedFraction(Sqrt(2*Log(2))); // G. C. Greubel, Aug 16 2018

CROSSREFS

Cf. A064619 (decimal expansion).

Sequence in context: A362394 A345949 A348505 * A304042 A109768 A069293

Adjacent sequences: A051005 A051006 A051007 * A051009 A051010 A051011

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane, Jun 07 2002

EXTENSIONS

Offset changed by Andrew Howroyd, Aug 03 2024

STATUS

approved