%I A020753
%S A020753 1,2,3,4,5,6,7,8,9,10,12,13,14,15,16
%N A020753 Sizes of successive increasing gaps between square-free numbers.
%e A020753 The first gap in A005117 occurs between 1 and 2 and has length 1. The 
               next largest gap occurs between 3 and 5 and has length 2. The next 
               largest gap is between 7 and 10 and has length 3. Etc. We are only 
               interested in gaps that set new records.
%Y A020753 Cf. A005117, A020754, A020755, A045882, A051681.
%Y A020753 Sequence in context: A132575 A031297 A085516 this_sequence A101947 A167520 
               A051882
%Y A020753 Adjacent sequences: A020750 A020751 A020752 this_sequence A020754 A020755 
               A020756
%K A020753 nonn,hard,nice
%O A020753 1,2
%A A020753 David W. Wilson (davidwwilson(AT)comcast.net)
%E A020753 Thanks to Christian Bower for additional comments.