|
| |
|
|
A002947
|
|
Continued fraction for cube root of 4.
(Formerly M0200)
|
|
3
|
|
|
|
1, 1, 1, 2, 2, 1, 3, 2, 3, 1, 3, 1, 30, 1, 4, 1, 2, 9, 6, 4, 1, 1, 2, 7, 2, 3, 2, 1, 6, 1, 1, 1, 25, 1, 7, 7, 1, 1, 1, 1, 266, 1, 3, 2, 1, 3, 60, 1, 5, 1, 8, 5, 6, 1, 4, 20, 1, 4, 1, 1, 14, 1, 4, 4, 1, 1, 1, 1, 7, 3, 1, 1, 2, 1, 3, 1, 4, 4, 1, 1, 1, 3, 1, 34, 8, 2, 10, 6, 3, 1, 2, 31, 1, 1, 1, 4, 3, 44, 1, 45
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,4
|
|
|
REFERENCES
|
S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=1,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
|
|
|
EXAMPLE
|
4^(1/3) = 1.58740105196819947... = 1 + 1/(1 + 1/(1 + 1/(2 + 1/(2 + ...)))) [From Harry J. Smith, May 08 2009]
|
|
|
PROG
|
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(4^(1/3)); for (n=1, 20000, write("b002947.txt", n, " ", x[n])); } [From Harry J. Smith, May 08 2009]
|
|
|
CROSSREFS
|
Cf. A005480 = Decimal expansion. [From Harry J. Smith, May 08 2009]
Sequence in context: A130816 A109951 A116608 * A128180 A209279 A074754
Adjacent sequences: A002944 A002945 A002946 * A002948 A002949 A002950
|
|
|
KEYWORD
|
nonn,cofr,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 29 2003
|
|
|
STATUS
|
approved
|
| |
|
|
