|
| |
|
|
A010156
|
|
Continued fraction for sqrt(78).
|
|
3
| |
|
|
8, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16, 1, 4, 1, 16
(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)=(1/6)*{-17*(n mod 4)+10*[(n+1) mod 4]+[(n+2) mod 4]+28*[(n+3) mod 4]}-8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 24 2009]
|
|
|
EXAMPLE
| 8.83176086632784685476404272... = 8 + 1/(1 + 1/(4 + 1/(1 + 1/(16 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
|
|
|
MATHEMATICA
| ContinuedFraction[Sqrt[78], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 09 2011*)
|
|
|
PROG
| (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(78)); for (n=0, 20000, write("b010156.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
|
|
|
CROSSREFS
| Cf. A010530 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 09 2009]
Sequence in context: A110194 A199283 A079359 * A197590 A154190 A019981
Adjacent sequences: A010153 A010154 A010155 * A010157 A010158 A010159
|
|
|
KEYWORD
| nonn,cofr
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
