|
Search: id:A140076
|
|
|
| A140076 |
|
Pierce expansion of the cube root of 1/2. |
|
+0
1
|
|
| 1, 4, 5, 7, 8, 18, 384, 7958, 14304, 16623, 18610, 20685, 72923, 883177, 1516692, 2493788, 2504069, 22881179, 110219466, 2241255405, 34982468090, 64356019489, 110512265214, 1142808349967, 3550630472116, 5238523454726, 7129035664265
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
2^(-1/3) = 1-1/4(1-1/5(1-1/7(1-1/8(1-1/18(1-1/384(...))))))
|
|
LINKS
|
G. P. Michon, Pierce Expansions.
Eric Weisstein's World of Mathematics, Pierce Expansion.
|
|
FORMULA
|
Starting with x(1)=2^(-1/3), a(n) = floor(1/x(n)) and x(n+1) = 1-a(n)x(n).
|
|
EXAMPLE
|
a(1) is 1 because the floor of 2^(1/3) is 1.
a(2)=4 because 1/(1-2^(-1/3)) is 4.8473221...
|
|
CROSSREFS
|
Cf. A091831, A006283, A006284, A061233, A118242.
Sequence in context: A047492 A023629 A033164 this_sequence A135186 A011336 A094328
Adjacent sequences: A140073 A140074 A140075 this_sequence A140077 A140078 A140079
|
|
KEYWORD
|
easy,nice,nonn
|
|
AUTHOR
|
Gerard P. Michon (g.michon(AT)att.net), Jun 01 2008
|
|
|
Search completed in 0.002 seconds
|
