%I A053797
%S A053797 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,
%T A053797 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,
%U A053797 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
%N A053797 Lengths of successive gaps between square-free numbers.
%D A053797 Filaseta, M. and Trifonov, O. (1990): On Gaps between Squarefree Numbers. 
               In Analytic Number Theory, Birkhauser, Basel, pp. 235-253.
%D A053797 Fogels, E. (1941): On the average values of arithmetic functions. Proc. 
               Cambridge Philos. Soc. 37: 358-372.
%D A053797 Roth, K. F. (1951): On the gaps between squarefree numbers. J. London 
               Math. Soc. (2) 26:263-268.
%H A053797 L. Marmet, <a href="http://www.marmet.org/louis/sqfgap/">First occurrences 
               of square-free gaps...</a>
%e A053797 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).
%Y A053797 Gaps between terms of A005117.
%Y A053797 Cf. A005117, A053806.
%Y A053797 Sequence in context: A001179 A001876 A033182 this_sequence A002635 A108244 
               A124961
%Y A053797 Adjacent sequences: A053794 A053795 A053796 this_sequence A053798 A053799 
               A053800
%K A053797 nonn,easy
%O A053797 0,2
%A A053797 N. J. A. Sloane (njas(AT)research.att.com), Apr 07 2000
%E A053797 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 08 2000