|
Search: id:A078711
|
|
|
| A078711 |
|
Sequence is S(infinity), where S(1)={1,2,3}, S(n+1)=S(n)S'(n) and S'(n) is obtained from S(n) by changing last term using the cyclic permutation 1->2->3->1. |
|
+0
3
|
|
| 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 3, 1, 2, 1, 1, 2, 3
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
Limit n ->infty sum(i=1, n, a(i))/n = 37/21; density of 1's is 3/7; density of 2's is 8/21; density of 3's is 4/21.
|
|
EXAMPLE
|
Concatenate 1,2,3 gives 1,2,3,1,2,3, change the last term 3 by 1 gives the 6 first terms : 1,2,3,1,2,1. Concatenate those 6 terms : 1,2,3,1,2,1,1,2,3,1,2,1 replace the last term 1 by 3 gives the 12 first terms : 1,2,3,1,2,1,1,2,3,1,2,2
|
|
CROSSREFS
|
Cf. A010060, A078978, A078979.
Sequence in context: A091654 A127246 A106038 this_sequence A076423 A075660 A073058
Adjacent sequences: A078708 A078709 A078710 this_sequence A078712 A078713 A078714
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 19 2002
|
|
|
Search completed in 0.002 seconds
|
