A040035 Continued fraction for sqrt(42).

6, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2

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

6.4807406984078602309659674... = 6 + 1/(2 + 1/(12 + 1/(2 + 1/(12 + ...)))). - Harry J. Smith, Jun 05 2009

Maple

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

Mathematica

ContinuedFraction[Sqrt[42], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 29000); x=contfrac(sqrt(42)); for (n=0, 20000, write("b040035.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 05 2009

Crossrefs

Cf. A010496 Decimal expansion. - Harry J. Smith, Jun 05 2009

Sequence in context: A100616 A097474 A194351 * A065272 A070394 A065174

Adjacent sequences: A040032 A040033 A040034 * A040036 A040037 A040038

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved