

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
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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



