|
Search: id:A040008
|
|
|
| A040008 |
|
Continued fraction for sqrt(12). |
|
+0
2
|
|
| 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; 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)=4+2*(-1)^n-3*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 11 2009]
|
|
EXAMPLE
|
3.464101615137754587054892683... = 3 + 1/(2 + 1/(6 + 1/(2 + 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, 24000); x=contfrac(sqrt(12)); for (n=0, 20000, write("b040008.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
|
|
CROSSREFS
|
Cf. A010469 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 02 2009]
Sequence in context: A131897 A061187 A021758 this_sequence A129354 A129628 A071044
Adjacent sequences: A040005 A040006 A040007 this_sequence A040009 A040010 A040011
|
|
KEYWORD
|
nonn,cofr,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
