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Search: id:A121496
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| 1, 2, 2, 1, 3, 4, 4, 3, 5, 6, 6, 5, 7, 8, 8, 7, 9, 10, 10, 9, 11, 12, 12, 11, 13, 14, 14, 13, 15, 16, 16, 15, 17, 18, 18, 17, 19, 20, 20, 19, 21, 22, 22, 21, 23, 24, 24, 23, 25, 26, 26, 25, 27, 28, 28, 27, 29, 30, 30, 29, 31, 32, 32, 31, 33, 34, 34, 33, 35, 36, 36, 35, 37, 38, 38
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A000027 and A103889 are bisections.
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FORMULA
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a(2k-1) = k, a(4k) = 2k-1, a(4k-2) = 2k, k>=1.
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EXAMPLE
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The fifth run of successive numbers in A068225 is 8, 9, 10 with run length three so a(5) = 3.
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PROGRAM
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(PARI) a(n) = if(n%2==1, (n+1)/2, if(n%4==0, (n/2)-1, (n/2)+1)) for(n=1, 80, print1(a(n), ", "))
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CROSSREFS
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Cf. A068225, A000027, A103889.
Sequence in context: A123956 A113594 A102563 this_sequence A091971 A065185 A111375
Adjacent sequences: A121493 A121494 A121495 this_sequence A121497 A121498 A121499
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KEYWORD
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nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 03 2006
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