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A040063 Continued fraction for sqrt(72). 4
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 (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) = 9 + 7*(-1)^n - 8*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 10 2009

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

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Last modified October 17 04:09 EDT 2019. Contains 328106 sequences. (Running on oeis4.)