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A040007 Continued fraction for sqrt(11). +0
2
3, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3 (list; graph; listen)
OFFSET

0,1

LINKS

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

G. Xiao, Contfrac

Index entries for continued fractions for constants

FORMULA

a(n)=(1/2)[9+3*(-1)^n]-3*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 11 2009]

EXAMPLE

3.316624790355399849114932736... = 3 + 1/(3 + 1/(6 + 1/(3 + 1/(6 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]

MAPLE

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

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 27000); x=contfrac(sqrt(11)); for (n=0, 20000, write("b040007.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]

CROSSREFS

Cf. A010468 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]

Sequence in context: A105158 A020813 A034188 this_sequence A110634 A151787 A113397

Adjacent sequences: A040004 A040005 A040006 this_sequence A040008 A040009 A040010

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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