A040033 Continued fraction for sqrt(40).

6, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3

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

6.3245553203367586639977870... = 6 + 1/(3 + 1/(12 + 1/(3 + 1/(12 + ...)))). - Harry J. Smith, Jun 05 2009

Maple

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

Mathematica

ContinuedFraction[Sqrt[40], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *)
LinearRecurrence[{0, 1}, {6, 3, 12}, 100] (* or *) PadRight[{6}, 100, {12, 3}] (* Harvey P. Dale, Mar 03 2018 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 32000); x=contfrac(sqrt(40)); for (n=0, 20000, write("b040033.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 05 2009

Crossrefs

Cf. A010494 Decimal expansion. - Harry J. Smith, Jun 05 2009

Sequence in context: A131894 A368679 A335393 * A165998 A322091 A329583

Adjacent sequences: A040030 A040031 A040032 * A040034 A040035 A040036

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved