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A010160 Continued fraction for sqrt(88). 2
9, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1, 1, 1, 2, 18, 2, 1 (list; graph; refs; listen; history; text; 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)=(1/18)*{-43*(n mod 6)+2*[(n+1) mod 6]+5*[(n+2) mod 6]+5*[(n+3) mod 6]+8*[(n+4) mod 6]+53*[(n+5) mod 6]}-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jul 24 2009]

EXAMPLE

9.380831519646859109131260227... = 9 + 1/(2 + 1/(1 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith, Jun 10 2009]

MATHEMATICA

ContinuedFraction[Sqrt[88], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(88)); for (n=0, 20000, write("b010160.txt", n, " ", x[n+1])); } [From Harry J. Smith, Jun 10 2009]

CROSSREFS

Cf. A010539 Decimal expansion. [From Harry J. Smith, Jun 10 2009]

Sequence in context: A147711 A096388 A153463 * A093962 A230191 A198984

Adjacent sequences:  A010157 A010158 A010159 * A010161 A010162 A010163

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 18 11:35 EDT 2014. Contains 240707 sequences.