|
|
A030651
|
|
Continued fraction for Gamma(1/3).
|
|
3
|
|
|
2, 1, 2, 8, 1, 2, 1, 1, 2, 1, 1, 3, 1, 1, 9, 1, 4, 1, 3, 1, 7, 1, 1, 3, 6, 2, 2, 1, 1, 32, 3, 3, 3, 1, 24, 2, 2, 25, 1, 2, 1, 6, 2, 1, 1, 3, 1, 9, 3, 2, 1, 6, 7, 2, 8, 2, 5, 1, 5, 1, 2, 2, 2, 2, 4, 3, 1, 5, 1, 15, 1, 1, 2, 4, 3, 3, 1, 5, 1, 4, 1, 8, 1, 3, 1, 1, 8, 2, 1, 2, 1, 514, 1, 2, 1, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
Note that 3 * Gamma(1/3) * Gamma(2/3) = 2 * Pi * sqrt(3).
|
|
EXAMPLE
|
Gamma(1/3) = 2.67893853470774... = 2 + 1/(1 + 1/(2 + 1/(8 + 1/(1 + ...)))). - Harry J. Smith, Apr 20 2009
|
|
MATHEMATICA
|
|
|
PROG
|
(PARI) { default(realprecision, 1080); x=contfrac(gamma(1/3)); for (n=1, 1000, write("b030651.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 20 2009
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,cofr
|
|
AUTHOR
|
Paolo Dominici (pl.dm(AT)libero.it)
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|