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A040421 Continued fraction for sqrt(443). 1
21, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..62.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 1).

FORMULA

a(n)=(1/2)*[63+21*(-1)^n]-21*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(443)), confrac);

MATHEMATICA

Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[443], 120]] (* or *) PadRight[{21}, 120, {42, 21}] (* Harvey P. Dale, Feb 16 2016 *)

CROSSREFS

Sequence in context: A010860 A158772 A151910 * A022355 A048245 A246034

Adjacent sequences:  A040418 A040419 A040420 * A040422 A040423 A040424

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 22 05:47 EDT 2019. Contains 325213 sequences. (Running on oeis4.)