|
| |
|
|
A081484
|
|
Consider the mapping f(a/b) = (a^2 + b)/(a^2 - b). Taking a =2, b = 1 to start with and carrying out this mapping repeatedly on each new (reduced) rational number gives the following sequence 2/1,5/3,14/11,207/185,... Sequence contains the denominators.
|
|
1
| |
|
|
1, 3, 11, 185, 21332, 462959957, 107185713294954842, 11488777233793645715382503248255559, 65996001163867589433635003347899702393519681139860824058982662496745
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| The mapping f(a/b) = (a + b)/(a - b). Taking a = 2 b = 1 to start with and carrying out this mapping repeatedly on each new (reduced)rational number gives the periodic sequence 2/1,3/1,2/1,3/1,...
|
|
|
CROSSREFS
| Cf. A081483.
Sequence in context: A053888 A118479 A103836 * A125738 A092840 A007156
Adjacent sequences: A081481 A081482 A081483 * A081485 A081486 A081487
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 24 2003
|
|
|
EXTENSIONS
| More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 06 2003
|
| |
|
|
