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Search: id:A053806
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| A053806 |
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Numbers where a gap begins in the sequence of square-free numbers (A005117). |
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6
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| 4, 8, 12, 16, 18, 20, 24, 27, 32, 36, 40, 44, 48, 52, 54, 56, 60, 63, 68, 72, 75, 80, 84, 88, 90, 92, 96, 98, 104, 108, 112, 116, 120, 124, 128, 132, 135, 140, 144, 147, 150, 152, 156, 160, 162, 164, 168, 171, 175, 180, 184, 188, 192, 196, 198, 200, 204, 207, 212
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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Filaseta, M. and Trifonov, O. (1990): On Gaps between Squarefree Numbers. In Analytic Number Theory, Birkhauser, Basel, pp. 235-253.
Fogels, E. (1941): On the average values of arithmetic functions. Proc. Cambridge Philos. Soc. 37: 358-372.
Roth, K. F. (1951): On the gaps between squarefree numbers. J. London Math. Soc. (2) 26:263-268.
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LINKS
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L. Marmet, First occurrences of square-free gaps...
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EXAMPLE
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The first gap is at 4 and has length 1; the next starts at 8 and has length 2 (since neither 8 nor 9 are square-free).
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CROSSREFS
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Cf. A005117, A053797, A045882, A051681, A013929.
Sequence in context: A081747 A020647 A130702 this_sequence A068306 A113645 A086133
Adjacent sequences: A053803 A053804 A053805 this_sequence A053807 A053808 A053809
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 08 2000
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