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A053797
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Lengths of successive gaps between squarefree numbers.
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5
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1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 1, 3, 1, 2, 2, 2, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| 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
| L. Marmet, First occurrences of squarefree gaps...
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EXAMPLE
| 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 squarefree).
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CROSSREFS
| Gaps between terms of A005117.
Cf. A005117, A053806.
Sequence in context: A001179 A001876 A033182 * A002635 A108244 A124961
Adjacent sequences: A053794 A053795 A053796 * A053798 A053799 A053800
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 08 2000
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