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A010161 Continued fraction for sqrt(89). 3
9, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2 (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)=(1/25)*{-66*(n mod 5)+19*[(n+1) mod 5]+14*[(n+2) mod 5]+9*[(n+3) mod 5]+94*[(n+4) mod 5]}-9*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jul 24 2009]

EXAMPLE

9.433981132056603811320660377... = 9 + 1/(2 + 1/(3 + 1/(3 + 1/(2 + ...)))) [From Harry J. Smith, Jun 10 2009]

MATHEMATICA

ContinuedFraction[Sqrt[89], 300] (*From Vladimir Joseph Stephan Orlovsky, Mar 10 2011*)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(89)); for (n=0, 20000, write("b010161.txt", n, " ", x[n+1])); } [From Harry J. Smith, Jun 10 2009]

CROSSREFS

Cf. A010540 Decimal expansion. [From Harry J. Smith, Jun 10 2009]

Sequence in context: A132719 A182497 A199281 * A222226 A104539 A201559

Adjacent sequences:  A010158 A010159 A010160 * A010162 A010163 A010164

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 25 00:50 EDT 2014. Contains 240991 sequences.