id:A053797 - OEIS Search Results

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Lengths of successive gaps between square-free numbers.

+0
5

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; listen)

	OFFSET	`0,2`
	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.`
	LINKS	`L. Marmet, First occurrences of square-free gaps...`
	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 square-free).`
	CROSSREFS	`Gaps between terms of A005117.` `Cf. A005117, A053806.` `Sequence in context: A001179 A001876 A033182 this_sequence A002635 A108244 A124961` `Adjacent sequences: A053794 A053795 A053796 this_sequence A053798 A053799 A053800`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2000`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 08 2000`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.

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