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A040433 Continued fraction for sqrt(455). 1
21, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42 (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)*[45+39*(-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(455)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[455], 100] (* or *) PadRight[{21}, 100, {42, 3}] (* Harvey P. Dale, Nov 03 2015 *)

CROSSREFS

Sequence in context: A040432 A035419 A218249 * A317321 A080472 A118389

Adjacent sequences:  A040430 A040431 A040432 * A040434 A040435 A040436

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 21 00:49 EDT 2019. Contains 325189 sequences. (Running on oeis4.)