|
| |
|
|
A040198
|
|
Continued fraction for sqrt(213).
|
|
0
| |
|
|
14, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| Index entries for continued fractions for constants
|
|
|
FORMULA
| a(n)=(1/396)*{-862*(n mod 12)+29*[(n+1) mod 12]+62*[(n+2) mod 12]+161*[(n+3) mod 12]-136*[(n+4) mod 12]+260*[(n+5) mod 12]-202*[(n+6) mod 12]+194*[(n+7) mod 12]-103*[(n+8) mod 12]-4*[(n+9) mod 12]+29*[(n+10) mod 12]+860*[(n+11) mod 12]}-14*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Apr 24 2009]
|
|
|
MAPLE
| with(numtheory): Digits := 300: convert(evalf(sqrt(213)), confrac);
|
|
|
MATHEMATICA
| ContinuedFraction[Sqrt[213], 90]
|
|
|
CROSSREFS
| Sequence in context: A040199 A173747 A040200 * A040197 A040196 A168622
Adjacent sequences: A040195 A040196 A040197 * A040199 A040200 A040201
|
|
|
KEYWORD
| nonn,cofr,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|