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A040568 Continued fraction for sqrt(593). 0
24, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2, 48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..89.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/507)*{-1757*(n mod 13)-2*[(n+1) mod 13]+193*[(n+2) mod 13]-80*[(n+3) mod 13]+37*[(n+4) mod 13]-2*[(n+5) mod 13]+37*[(n+6) mod 13]+76*[(n+7) mod 13]+37*[(n+8) mod 13]+154*[(n+9) mod 13]-119*[(n+10) mod 13]+76*[(n+11) mod 13]1831*[(n+12) mod 13]}-24*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, May 15 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(593)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[593], 120] (* or *) PadRight[{24}, 120, {48, 2, 1, 5, 2, 2, 1, 1, 2, 2, 5, 1, 2}] (* Harvey P. Dale, Dec 16 2018 *)

CROSSREFS

Sequence in context: A318105 A040570 A040569 * A040571 A037927 A040572

Adjacent sequences:  A040565 A040566 A040567 * A040569 A040570 A040571

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)