|
| |
|
|
A010126
|
|
Continued fraction for sqrt(22).
|
|
2
| |
|
|
4, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2, 4, 2, 1, 8, 1, 2
(list; graph; refs; listen; history; internal format)
|
|
|
|
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)=(1/30)*{-29*(n mod 6)+11*[(n+1) mod 6]+16*[(n+2) mod 6]-4*[(n+3) mod 6]+[(n+4) mod 6]+41*[(n+5) mod 6]}-4*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jun 11 2009]
|
|
|
EXAMPLE
| 4.690415759823429554565630113... = 4 + 1/(1 + 1/(2 + 1/(4 + 1/(2 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
|
|
|
MATHEMATICA
| ContinuedFraction[Sqrt[22], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 05 2011*)
|
|
|
PROG
| (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(22)); for (n=0, 20000, write("b010126.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
|
|
|
CROSSREFS
| Cf. A010478 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 03 2009]
Sequence in context: A080508 A178141 A063987 * A021712 A014571 A152523
Adjacent sequences: A010123 A010124 A010125 * A010127 A010128 A010129
|
|
|
KEYWORD
| nonn,cofr
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
