A040021 Continued fraction for sqrt(27).

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

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).

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: A245088 A078560 A331064 * A339720 A341831 A360996

Adjacent sequences: A040018 A040019 A040020 * A040022 A040023 A040024

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved