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A040077 Continued fraction for sqrt(87). 2
9, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3, 18, 3 (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) = (1/2)(21 + 15*(-1)^n) - 9*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 10 2009

EXAMPLE

9.3273790530888150455544755... = 9 + 1/(3 + 1/(18 + 1/(3 + 1/(18 + ...)))). - Harry J. Smith, Jun 10 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[87], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 36000); x=contfrac(sqrt(87)); for (n=0, 20000, write("b040077.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 10 2009

CROSSREFS

Cf. A010538 Decimal expansion. - Harry J. Smith, Jun 10 2009

Sequence in context: A248312 A170874 A103935 * A195312 A248311 A302536

Adjacent sequences:  A040074 A040075 A040076 * A040078 A040079 A040080

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 19 04:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)