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A078978
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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.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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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.
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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
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CROSSREFS
| Cf. A010060, A078711.
Sequence in context: A118310 A073057 A084310 * A171171 A159957 A053840
Adjacent sequences: A078975 A078976 A078977 * A078979 A078980 A078981
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 19 2002
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