|
Search: id:A081479
|
|
|
| A081479 |
|
Consider the mapping f(a/b) = (a^2 +b^2)/(a+b). Taking a =1, b = 2 to start with, and carrying out this mapping repeatedly on each new (reduced) rational number gives the following sequence 1/2,5/3,17/4,305/21,... Sequence contains the numerators. |
|
+0
2
|
|
| 1, 5, 17, 305, 46733, 1091999929, 1192463845485813745, 710985011395407339530814550372704577, 252749843214463752223970400013115847462076218642780299149809471303529825
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
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. A081480.
Sequence in context: A089894 A077718 A093428 this_sequence A096996 A070294 A119531
Adjacent sequences: A081476 A081477 A081478 this_sequence A081480 A081481 A081482
|
|
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
|
|
|
Search completed in 0.002 seconds
|
