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A040041 Continued fraction for sqrt(48). 4
6, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 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

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

FORMULA

a(n) = (1/2)*(13 + 11*(-1)^n) - 6*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 09 2009

EXAMPLE

6.9282032302755091741097853... = 6 + 1/(1 + 1/(12 + 1/(1 + 1/(12 + ...)))). - Harry J. Smith, Jun 06 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[48], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 24000); x=contfrac(sqrt(48)); for (n=0, 20000, write("b040041.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

CROSSREFS

Cf. A010502 Decimal expansion. - Harry J. Smith, Jun 06 2009

Sequence in context: A046618 A216605 A107348 * A162933 A304252 A229085

Adjacent sequences:  A040038 A040039 A040040 * A040042 A040043 A040044

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 20 05:43 EDT 2019. Contains 325168 sequences. (Running on oeis4.)