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A040470 Continued fraction for sqrt(493). 2
22, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4, 44, 4, 1, 10, 3, 3, 10, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..80.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/81)*{-340*(n mod 9)-7*[(n+1) mod 9]+101*[(n+2) mod 9]-43*[(n+3) mod 9]+20*[(n+4) mod 9]+83*[(n+5) mod 9]-61*[(n+6) mod 9]+47*[(n+7) mod 9]+380*[(n+8) mod 9]}-22*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 13 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(493)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[493], 120] (* or *) PadRight[{22}, 120, {44, 4, 1, 10, 3, 3, 10, 1, 4}] (* Harvey P. Dale, Jul 25 2019 *)

CROSSREFS

Sequence in context: A065662 A174735 A317322 * A040471 A018817 A040472

Adjacent sequences:  A040467 A040468 A040469 * A040471 A040472 A040473

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 18 15:22 EDT 2021. Contains 348068 sequences. (Running on oeis4.)