A040008 - OEIS

A040008

Continued fraction for sqrt(12).

3, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6

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

OFFSET

0,1

COMMENTS

Eventual period is (2,6). - Zak Seidov, Mar 05 2011

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 1).

EXAMPLE

3.464101615137754587054892683... = 3 + 1/(2 + 1/(6 + 1/(2 + 1/(6 + ...)))). - Harry J. Smith, Jun 02 2009

MAPLE

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

MATHEMATICA

ContinuedFraction[Sqrt[12], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 24000); x=contfrac(sqrt(12)); for (n=0, 20000, write("b040008.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 02 2009

CROSSREFS

Cf. A010469 Decimal expansion. - Harry J. Smith, Jun 02 2009

Sequence in context: A061187 A248082 A021758 * A129354 A129628 A245691

Adjacent sequences: A040005 A040006 A040007 * A040009 A040010 A040011

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved