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Search: id:A088431
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| A088431 |
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Half of the (n+1)-st component of the continued fraction expansion of sum(k>=1,1/2^(2^k)). |
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+0
2
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| 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 2, 1, 3, 2, 1, 2, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 1, 2, 2, 3, 2, 1, 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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To construct the sequence use the rule : a(1)=2 then a(a(1)+a(2)+...+a(n)+1)=2 and fill in any undefined places with the sequence 1,3,1,3,1,3,1,3,1,3,1,3,.....
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FORMULA
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a(n)= (1/2) *A007400(n+1); a(a(1)+a(2)+...+a(n)+1)=2
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EXAMPLE
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Example to illustrate the comment : a(a(1)+1)=a(3)=2 and a(2) is undefined. The rule forces a(2)=1. Next, a(a(1)+a(2)+1)=a(4)=2, a(a(1)+a(2)+a(3)+1)=a(6)=2 and a(5) is undefined. The rule forces now a(5)=3.
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CROSSREFS
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Cf. A088435.
Sequence in context: A134192 A060426 A126305 this_sequence A052304 A049874 A060501
Adjacent sequences: A088428 A088429 A088430 this_sequence A088432 A088433 A088434
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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), Nov 08 2003
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