|
Search: id:A040074
|
|
|
| A040074 |
|
Continued fraction for sqrt(84). |
|
+0
2
|
|
| 9, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 6, 18, 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)=12+6*(-1)^n-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jun 10 2009]
|
|
EXAMPLE
|
9.1651513899116800131760943... = 9 + 1/(6 + 1/(18 + 1/(6 + 1/(18 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
|
|
MAPLE
|
Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):
|
|
PROGRAM
|
(PARI) { allocatemem(932245000); default(realprecision, 42000); x=contfrac(sqrt(84)); for (n=0, 20000, write("b040074.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
|
|
CROSSREFS
|
Cf. A010535 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 10 2009]
Sequence in context: A063602 A166520 A102648 this_sequence A088999 A073782 A156033
Adjacent sequences: A040071 A040072 A040073 this_sequence A040075 A040076 A040077
|
|
KEYWORD
|
nonn,cofr,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
