%I #6 Jun 07 2024 08:03:17
%S 1,1,2,1,2,2,1,4,1,3,1,2,1,2,1,2,1,2,5,1,2,2,1,2,1,2,2,1,2,2,1,4,1,3,
%T 1,2,1,2,1,2,1,2,2,3,1,2,2,1,2,1,2,4,2,1,4,1,3,2,1,2,1,2,1,2,2,1,4,1,
%U 2,2,1,2,1,2,1,2,1,2,2,1,4,1,3,4,1,2,1
%N Length of the n-th maximal antirun of squarefree numbers differing by more than one.
%C The sum of this antirun is given by A373411.
%C An antirun of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by more than one.
%H Gus Wiseman, <a href="/A373403/a373403.txt">Four statistics for runs and antiruns of prime, nonprime, squarefree, and nonsquarefree numbers</a>
%e Row-lengths of:
%e 1
%e 2
%e 3 5
%e 6
%e 7 10
%e 11 13
%e 14
%e 15 17 19 21
%e 22
%e 23 26 29
%e 30
%e 31 33
%e 34
%e 35 37
%e 38
%e 39 41
%e 42
%e 43 46
%e 47 51 53 55 57
%t Length/@Split[Select[Range[100],SquareFreeQ],#1+1!=#2&]
%Y Positions of first appearances are A373128, sorted A373200.
%Y Functional neighbors: A007674, A027833 (partial sums A029707), A120992, A373403, A373408, A373409, A373411.
%Y A005117 lists the squarefree numbers, first differences A076259.
%Y A013929 lists the nonsquarefree numbers, first differences A078147.
%Y A077643 counts squarefree numbers with n bits, sum A373123.
%Y Cf. A049093, A049094, A061398, A077641, A112925, A112926, A174965, A350842, A372683, A373125, A373126, A373197, A373198.
%K nonn
%O 1,3
%A _Gus Wiseman_, Jun 05 2024