|
Search: id:A078978
|
|
|
| A078978 |
|
Sequence is S(infinity), where S(1)={1,2,3,4}, 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->4->1. |
|
+0
2
|
|
| 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 3, 3, 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 4, 1, 2, 3, 1, 1, 2, 3, 4, 1, 2, 3, 3, 1, 2, 3, 4, 1, 2, 3, 1, 1
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
FORMULA
|
Limit n ->infty sum(i=1, n, a(i))/n = 133/60; density of 1's is 19/60; density of 2's is 17/60; density of 3's is 4/15; density of 4's is 2/15.
|
|
EXAMPLE
|
Concatenate 1,2,3,4 gives 1,2,3,4,1,2,3,4 change 4 -> 1, hence 8 first terms are 1,2,3,4,1,2,3,1. Concatenate again: 1,2,3,4,1,2,3,1,1,2,3,4,1,2,3,1 change 1->2, hence 16 first terms are : 1,2,3,4,1,2,3,1,1,2,3,4,1,2,3,2
|
|
CROSSREFS
|
Cf. A010060, A078711.
Adjacent sequences: A078975 A078976 A078977 this_sequence A078979 A078980 A078981
Sequence in context: A118310 A073057 A084310 this_sequence A053840 A010883 A011542
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 19 2002
|
|
|
Search completed in 0.002 seconds
|
