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A040072 Continued fraction for sqrt(82). 6
9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18 (list; graph; refs; listen; history; text; internal format)
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 (1).

FORMULA

a(n) = 18 - 9*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 10 2009

EXAMPLE

9.05538513813741662657380... = 9 + 1/(18 + 1/(18 + 1/(18 + 1/(18 + ...)))). - Harry J. Smith, Jun 10 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[82], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)

PadRight[{9}, 120, {18}] (* Harvey P. Dale, Oct 09 2020 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 51000); x=contfrac(sqrt(82)); for (n=0, 20000, write("b040072.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 10 2009

CROSSREFS

Cf. A010533 Decimal expansion. - Harry J. Smith, Jun 10 2009

Sequence in context: A103700 A158623 A046125 * A034728 A129855 A250769

Adjacent sequences:  A040069 A040070 A040071 * A040073 A040074 A040075

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified November 27 09:32 EST 2020. Contains 338679 sequences. (Running on oeis4.)