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A040324 Continued fraction for sqrt(343). 1
18, 1, 1, 11, 1, 5, 3, 1, 17, 1, 3, 5, 1, 11, 1, 1, 36, 1, 1, 11, 1, 5, 3, 1, 17, 1, 3, 5, 1, 11, 1, 1, 36, 1, 1, 11, 1, 5, 3, 1, 17, 1, 3, 5, 1, 11, 1, 1, 36, 1, 1, 11, 1, 5, 3, 1, 17, 1, 3, 5, 1, 11, 1, 1, 36, 1, 1, 11, 1, 5, 3, 1, 17, 1, 3, 5, 1, 11, 1, 1, 36, 1, 1, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..83.

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, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n)=(1/640)*{-1367*(n mod 16)+33*[(n+1) mod 16]+433*[(n+2) mod 16]-367*[(n+3) mod 16]+193*[(n+4) mod 16]-47*[(n+5) mod 16]-47*[(n+6) mod 16]+673*[(n+7) mod 16]-607*[(n+8) mod 16]+113*[(n+9) mod 16]+113*[(n+10) mod 16]-127*[(n+11) mod 16]+433*[(n+12) mod 16]-367*[(n+13) mod 16]+33*[(n+14) mod 16]+1433*[(n+15) mod 16]}-18*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 27 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(343)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[343], 90] (* or *) PadRight[{18}, 90, {36, 1, 1, 11, 1, 5, 3, 1, 17, 1, 3, 5, 1, 11, 1, 1}] (* Harvey P. Dale, Apr 22 2013 *)

CROSSREFS

Sequence in context: A040329 A040326 A040325 * A168623 A146774 A174451

Adjacent sequences:  A040321 A040322 A040323 * A040325 A040326 A040327

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 16 18:03 EDT 2019. Contains 328102 sequences. (Running on oeis4.)