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A082410
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a(1)=0. Thereafter, the sequence is constructed using the rule: for any k>=0, if a(1),a(2),......,a(2^k+1) are known, the next 2^k terms are given as follows: a(2^k+1+i)=1-a(2^k+1-i) for 1<=i<=2^k.
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10
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0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1
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OFFSET
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1,1
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COMMENTS
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a(n) is A014577 shifted right twice (the definition here is similar to one of the constructions for A034947). - N. J. A. Sloane, Jul 27 2012
Complement of characteristic function of A060833.
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LINKS
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Table of n, a(n) for n=1..105.
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FORMULA
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n>=2 sum(k=1, n, a(k))=(n+A037834(n-1))/2
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EXAMPLE
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3 first terms are 0,1,1 therefore a(4)=a(3+1)=1-a(3-1)=1-a(2)=0, a(5)=a(3+2)=1-a(3-2)=1-a(1)=1 and sequence begins 0,1,1,0,1,...
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CROSSREFS
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The following are all essentially the same sequence: A014577, A014707, A014709, A014710, A034947, A038189, A082410. - N. J. A. Sloane, Jul 27 2012
Sequence in context: A080886 A083924 A171587 * A094217 A174784 A092220
Adjacent sequences: A082407 A082408 A082409 * A082411 A082412 A082413
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre, Apr 24 2003
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STATUS
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approved
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