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Search: id:A082844
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| A082844 |
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Start with 3,2 and apply the rule a(a(1)+a(2)+...+a(n))=a(n), fill in any undefined terms by the rule that a(t) = 2 if a(t-1) = 3, and a(t) = 3 if a(t-1) = 2. |
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2
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| 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 2, 3
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(1)= 3, a(2)=2, a(a(1)+a(2)+...+a(n))=a(n) and a(a(1)+a(2)+...+a(n)+1)=5-a(n).
More generally, sequence a(n)=floor(r*(n+2))-floor(r*(n+1)), r= (1/2) *(z+sqrt(z^2+4)), z integer >=1, is defined with a(1), a(2) and a(a(1)+a(2)+...+a(n)+f(z))=a(n); a(a(1)+a(2)+...+a(n)+f(z)+1)=(2z+1)-a(n) where f(1)=0, f(z)=z-2 for z>=2.
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FORMULA
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a(n)=floor(r*(n+2))-floor(r*(n+1)) where r=1+sqrt(2)
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CROSSREFS
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Cf. A082389, A082845.
Sequence in context: A096835 A064654 A056564 this_sequence A101406 A097509 A095206
Adjacent sequences: A082841 A082842 A082843 this_sequence A082845 A082846 A082847
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 15 2003; revised Jun 07 2003
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