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A040059 Continued fraction for sqrt(68). 4
8, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4 (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 (0, 1).

FORMULA

a(n) = 10 + 6*(-1)^n - 8*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 10 2009

EXAMPLE

8.2462112512353210996428197... = 8 + 1/(4 + 1/(16 + 1/(4 + 1/(16 + ...)))). - Harry J. Smith, Jun 08 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[68], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 37000); x=contfrac(sqrt(68)); for (n=0, 20000, write("b040059.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009

CROSSREFS

Cf. A010520 Decimal expansion. - Harry J. Smith, Jun 08 2009

Sequence in context: A131873 A220130 A276071 * A178603 A018810 A070485

Adjacent sequences:  A040056 A040057 A040058 * A040060 A040061 A040062

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 19 09:33 EDT 2019. Contains 325155 sequences. (Running on oeis4.)