|
Search: id:A075257
|
|
|
| A075257 |
|
Smaller terms in the pairs of numbers (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k*Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256. |
|
+0
3
|
|
| 1, 1, 2, 1, 3, 2, 6, 1, 3, 9, 5, 15, 7, 21, 17, 46, 5, 15, 45, 73, 62, 157, 29, 87, 261, 94, 282, 407, 439, 782, 535, 1605, 206, 618, 1854, 2137, 3425, 2986, 7289, 1669, 5007, 15021, 170, 510, 1530, 4590, 13770, 24493, 16817, 50451, 6211, 18633, 55899
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Take any pair {a,b}. Each next pair is get by the rule {a,b} -> Sort[{Max[{a,b}]-Min[{a,b}],k*Min[{a,b}]]. Here k=3 and the first {a,b}={1,2}. For k = 2 there is a fixed point {a,b=2a}. For k > 2, are there any limits or cycles of the sequence {for some initial pair {a,b}?
|
|
FORMULA
|
a(n) = A075256(2n-1).
|
|
EXAMPLE
|
a(n) = A075256(2n-1).
|
|
MATHEMATICA
|
ss=Table[0, {j, 100}]; s=ss[[1]]={1, 2}; Do[ss[[i]]=Sort[{Max[s]-Min[s], 3*Min[s]}]; s=ss[[i]], {i, 2, 100}]; Table[Flatten[ss][[i]], {i, 1, 199, 2}]
|
|
CROSSREFS
|
Cf. A075256, A075258.
Sequence in context: A062951 A145794 A014000 this_sequence A073711 A071690 A114653
Adjacent sequences: A075254 A075255 A075256 this_sequence A075258 A075259 A075260
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Sep 10 2002
|
|
|
Search completed in 0.002 seconds
|
