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A040325 Continued fraction for sqrt(344). 1
18, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1, 36, 1, 1, 4, 1, 3, 1, 4, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..89.

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)*{-1522*(n mod 10)+53*[(n+1) mod 10]+188*[(n+2) mod 10]-82*[(n+3) mod 10]+143*[(n+4) mod 10]-37*[(n+5) mod 10]+188*[(n+6) mod 10]-82*[(n+7) mod 10]+53*[(n+8) mod 10]+1628*[(n+9) mod 10]}-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(344)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[344], 120] (* or *) PadRight[{18}, 120, {36, 1, 1, 4, 1, 3, 1, 4, 1, 1}] (* Harvey P. Dale, Dec 05 2016 *)

CROSSREFS

Sequence in context: A040328 A040329 A040326 * A040324 A168623 A146774

Adjacent sequences:  A040322 A040323 A040324 * A040326 A040327 A040328

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 22 05:35 EDT 2019. Contains 326172 sequences. (Running on oeis4.)