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Search: id:A098740
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| A098740 |
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Start with the sequence of natural numbers S(0)={1,2,3,...} and define, for i>0, S(i)=D(i)S(i-1), where D(i)A denotes the operation of deleting the a(1+[i/2])th term of A={a(1),a(2),a(3),...}. E.g. D(3){1,2,4,6,9,10,...} means to delete the (a(1+[3/2])th = 2nd term of {1,2,4,9,10,...}, giving {1,4,9,10,...}. The given sequence is the limit of S(i) as i->inf. |
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1
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| 2, 3, 6, 7, 8, 11, 14, 17, 18, 19, 22, 23, 24, 27, 28, 29, 32, 35, 38, 39, 40, 43, 46, 49, 50, 51, 54, 57, 60, 61, 62, 65, 66, 67, 70, 71, 72, 75, 78, 81, 82, 83, 86, 87, 88, 91, 92, 93, 96, 99, 102, 103, 104, 107, 108, 109, 112, 113, 114, 117, 120, 123, 124, 125, 128, 131
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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It appears that the first difference sequence of {a(n)} is A080426.
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EXAMPLE
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D(1){1,2,3,4,5,6,...}={2,3,4,5,6,7,...} (delete first term),
D(2){2,3,4,5,6,7,...}={2,3,5,6,7,8,...} (delete 3rd term,
D(3){2,3,5,6,7,8,9,...}={2,3,6,7,8,9,...} (delete 3rd term),
D(4)(2,3,6,7,8,9,10,...}={2,3,6,7,8,10,...}, (delete 6th term},
...
Limiting case: {a(n)}.
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CROSSREFS
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Cf. A080426.
Sequence in context: A064472 A001422 A097757 this_sequence A116046 A069579 A065193
Adjacent sequences: A098737 A098738 A098739 this_sequence A098741 A098742 A098743
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Oct 29 2004
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