|
| |
|
|
A120031
|
|
Numerators of reduced forms of fractions obtained by performing the first n divisions shown below.
|
|
30
| |
|
|
1, 1, 2, 5, 40, 4, 48, 312, 1664, 14144, 56576, 28288, 226304, 217600, 870400, 2524160, 80773120, 2375680, 1900544, 35160064, 1406402560, 28831252480, 115325009920, 288312524800, 4613000396800, 92260007936, 369040031744
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| 1
-------
2*3
..-----
..4*5
....---
....6*.....
In other words, the successive fractions are
1,
1
-,
2
1..4
----,
.23.
1..45.
------,
.23..6
1..45..8
--------,
.23..67.
and so on
Suggested by a question from Ciprian Bonciocat (6 years old).
|
|
|
FORMULA
| a(n) = numerator of x(n) where x(0)=1, x(2n+1) = x(2n) (4n+1)/(4n+2), x(2n+2) = x(2n+1) (4n+4)/(4n+3) - Matthew Conroy Jun 26 2006
|
|
|
EXAMPLE
| 1, 1/2, 2/3, 5/9, 40/63, 4/7, ...
|
|
|
CROSSREFS
| Cf. A120032.
Sequence in context: A067083 A183255 A109003 * A110066 A155176 A127974
Adjacent sequences: A120028 A120029 A120030 * A120032 A120033 A120034
|
|
|
KEYWORD
| nonn,frac
|
|
|
AUTHOR
| Mihai Cipu (mihai.cipu(AT)imar.ro), Jun 05 2006
|
|
|
EXTENSIONS
| More terms from Matthew Conroy Jun 26 2006
|
| |
|
|
