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A040509 Continued fraction for sqrt(533). 2
23, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11, 1, 1, 11, 46, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..71.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/5)*{-38*(n mod 5)+17*[(n+1) mod 5]-3*[(n+2) mod 5]+17*[(n+3) mod 5]+42*[(n+4) mod 5]}-23*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(533)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[533], 80] (* or *) PadRight[{23}, 80, {46, 11, 1, 1, 11}] (* Harvey P. Dale, Aug 17 2014 *)

CROSSREFS

Sequence in context: A318422 A013360 A013491 * A319046 A033343 A128364

Adjacent sequences:  A040506 A040507 A040508 * A040510 A040511 A040512

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 22 04:32 EDT 2019. Contains 321406 sequences. (Running on oeis4.)