

A040418


Continued fraction for sqrt(439).


1



20, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19, 1, 40, 1, 19
(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, 0, 0, 1).


FORMULA

a(n)=(1/24)*{173*(n mod 4)+169*[(n+1) mod 4]47*[(n+2) mod 4]+295*[(n+3) mod 4]}20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 30 2009]


MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(439)), confrac);


MATHEMATICA

ContinuedFraction[Sqrt[439], 120] (* or *) PadRight[{20}, 120, {40, 1, 19, 1}] (* Harvey P. Dale, Jun 24 2018 *)


CROSSREFS

Sequence in context: A040417 A278414 A003833 * A140116 A084923 A141589
Adjacent sequences: A040415 A040416 A040417 * A040419 A040420 A040421


KEYWORD

nonn,cofr,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



