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Search: id:A107362
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| A107362 |
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Sequence A={a(n),n=0,1,2,3,...} such that the subsequence S1={a(n)|n mod 5=0,3} is identical to A and S2=S\S1 (the complement of S1 in A) is identical to A except with the first term omitted. |
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1
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| 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(0)=1, a(1)=2, a(2)=1 and, for n>2, a(n)=a(2[n/5] if n=0 mod 5, a(n)=a(n-2[n/5]) if n=1, 2 mod 5, a(n)=a(2[n/5]+1) if n=3 mod 5 and a(n)=a(n-2[n/5]-1) if n=4 mod 5.
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EXAMPLE
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S1={a(0),a{3),a(5),a(8),a(10),...}={1,2,1,2,2,...}=A. Similarly for A\S1.
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CROSSREFS
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Sequence in context: A109925 A001468 A014675 this_sequence A166332 A022303 A113189
Adjacent sequences: A107359 A107360 A107361 this_sequence A107363 A107364 A107365
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KEYWORD
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eigen,nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), May 24 2005
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