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A040057 Continued fraction for sqrt(66). 3
8, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8 (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

Index entries for linear recurrences with constant coefficients, signature (0, 1).

FORMULA

a(n) = 12 + 4*(-1)^n - 8*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 10 2009

EXAMPLE

8.1240384046359603604598835... = 8 + 1/(8 + 1/(16 + 1/(8 + 1/(16 + ...)))). - Harry J. Smith, Jun 08 2009

MAPLE

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

MATHEMATICA

ContinuedFraction[Sqrt[66], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 43000); x=contfrac(sqrt(66)); for (n=0, 20000, write("b040057.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009

CROSSREFS

Cf. A010518 Decimal expansion. - Harry J. Smith, Jun 08 2009

Sequence in context: A109540 A229554 A298182 * A205709 A028997 A168397

Adjacent sequences:  A040054 A040055 A040056 * A040058 A040059 A040060

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 21 21:58 EDT 2019. Contains 325199 sequences. (Running on oeis4.)