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A040021 Continued fraction for sqrt(27). 12
5, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5, 10, 5 (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)*(15 + 5*(-1)^n) - 5*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 09 2009

EXAMPLE

5.1961524227066318805823390... = 5 + 1/(5 + 1/(10 + 1/(5 + 1/(10 + ...)))). - Harry J. Smith, Jun 04 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[27], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)

PadRight[{5}, 120, {10, 5}] (* Harvey P. Dale, Jul 19 2015 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 35000); x=contfrac(sqrt(27)); for (n=0, 20000, write("b040021.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 04 2009

(MAGMA) ContinuedFraction(Sqrt(27)); // G. C. Greubel, Feb 16 2018

CROSSREFS

Cf. A010482 Decimal expansion. - Harry J. Smith, Jun 04 2009

Sequence in context: A290240 A245088 A078560 * A003882 A168284 A166598

Adjacent sequences:  A040018 A040019 A040020 * A040022 A040023 A040024

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 23 19:37 EDT 2019. Contains 328373 sequences. (Running on oeis4.)