A040080 Continued fraction for sqrt(90).

9, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 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

9.4868329805051379959966806... = 9 + 1/(2 + 1/(18 + 1/(2 + 1/(18 + ...)))). - Harry J. Smith, Jun 11 2009

Maple

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

Mathematica

ContinuedFraction[Sqrt[90], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)
PadRight[{9}, 120, {18, 2}] (* Harvey P. Dale, Jun 13 2017 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 32000); x=contfrac(sqrt(90)); for (n=0, 20000, write("b040080.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 11 2009
(PARI) a(n) = if (!n, 9, if (n % 2, 2, 18)); \\ Michel Marcus, Jan 03 2016

Crossrefs

Cf. A010541 Decimal expansion. - Harry J. Smith, Jun 11 2009

Sequence in context: A248315 A256658 A094581 * A272033 A356356 A098289

Adjacent sequences: A040077 A040078 A040079 * A040081 A040082 A040083

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved