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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. - Paolo P. Lava, Jul 24 2009

EXAMPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[89], 300] (* 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])); } \\ Harry J. Smith, Jun 10 2009

CROSSREFS

Cf. A010540 Decimal expansion. - 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 December 3 21:14 EST 2016. Contains 278745 sequences.