A040063 Continued fraction for sqrt(72).

8, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 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

8.4852813742385702928101323... = 8 + 1/(2 + 1/(16 + 1/(2 + 1/(16 + ...)))). - Harry J. Smith, Jun 08 2009

Maple

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

Mathematica

ContinuedFraction[Sqrt[72], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)
PadRight[{8}, 120, {16, 2}] (* Harvey P. Dale, May 06 2018 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 31000); x=contfrac(sqrt(72)); for (n=0, 20000, write("b040063.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009

Crossrefs

Cf. A010524 Decimal expansion. - Harry J. Smith, Jun 08 2009

Sequence in context: A084499 A070487 A167623 * A196170 A164587 A050096

Adjacent sequences: A040060 A040061 A040062 * A040064 A040065 A040066

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved