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A010164 Continued fraction for sqrt(93). 3
9, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1 (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, 0, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/450)*{-727*(n mod 10)+38*[(n+1) mod 10]+38*[(n+2) mod 10]+173*[(n+3) mod 10]+128*[(n+4) mod 10]-52*[(n+5) mod 10]-97*[(n+6) mod 10]+38*[(n+7) mod 10]+38*[(n+8) mod 10]+803*[(n+9) mod 10]}-9*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 24 2009

EXAMPLE

9.643650760992954995760031047... = 9 + 1/(1 + 1/(1 + 1/(1 + 1/(4 + ...)))). - Harry J. Smith, Jun 11 2009

MATHEMATICA

ContinuedFraction[Sqrt[93], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)

PadRight[{9}, 120, {18, 1, 1, 1, 4, 6, 4, 1, 1, 1}] (* Harvey P. Dale, Mar 30 2019 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(93)); for (n=0, 20000, write("b010164.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 11 2009

CROSSREFS

Cf. A010544 Decimal expansion. - Harry J. Smith, Jun 11 2009

Sequence in context: A087966 A087968 A110483 * A006084 A059928 A293724

Adjacent sequences:  A010161 A010162 A010163 * A010165 A010166 A010167

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)