|
| |
|
|
A010137
|
|
Continued fraction for sqrt(47).
|
|
4
| |
|
|
6, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12
(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)=(1/24)*{-47*(n mod 4)+43*[(n+1) mod 4]-5*[(n+2) mod 4]+85*[(n+3) mod 4]}-6*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 23 2009]
|
|
|
EXAMPLE
| 6.85565460040104412493587144... = 6 + 1/(1 + 1/(5 + 1/(1 + 1/(12 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
|
|
|
MATHEMATICA
| ContinuedFraction[Sqrt[47], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 07 2011*)
|
|
|
PROG
| (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(47)); for (n=0, 20000, write("b010137.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
|
|
|
CROSSREFS
| Cf. A010501 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 06 2009]
Sequence in context: A016534 A160135 A178645 * A011096 A195695 A199047
Adjacent sequences: A010134 A010135 A010136 * A010138 A010139 A010140
|
|
|
KEYWORD
| nonn,cofr
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
