|
| |
|
|
A005483
|
|
Continued fraction for cube root of 7.
(Formerly M4675)
|
|
3
| |
|
|
1, 1, 10, 2, 16, 2, 1, 4, 2, 1, 21, 1, 3, 5, 1, 2, 1, 1, 2, 11, 5, 1, 3, 1, 2, 27, 4, 1, 282, 8, 1, 2, 1, 1, 3, 1, 3, 2, 6, 4, 1, 2, 1, 5, 1, 1, 2, 1, 1, 1, 3, 2, 8, 1, 2, 2, 4, 5, 1, 1, 36, 1, 1, 1, 1, 2, 1, 2, 31
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
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
| 7^(1/3) = 1.912931182772389... = 1 + 1/(1 + 1/(10 + 1/(2 + 1/(16 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
|
|
|
PROG
| (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(7^(1/3)); for (n=1, 20000, write("b005483.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
|
|
|
CROSSREFS
| Cf. A005482 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
Sequence in context: A084455 A069532 A084461 * A040099 A173237 A086068
Adjacent sequences: A005480 A005481 A005482 * A005484 A005485 A005486
|
|
|
KEYWORD
| nonn,cofr
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
