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A040271 Continued fraction for sqrt(288). 1
16, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/2)*[33+31*(-1)^n]-16*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 24 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(288)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[288], 100] (* or *) PadRight[{16}, 100, {32, 1}] (* Harvey P. Dale, Nov 05 2022 *)

CROSSREFS

Sequence in context: A002651 A097522 A302153 * A329927 A036179 A309132

Adjacent sequences: A040268 A040269 A040270 * A040272 A040273 A040274

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 5 08:15 EST 2023. Contains 360082 sequences. (Running on oeis4.)