A373413 - OEIS

%I #7 Jun 07 2024 08:03:36

%S 6,18,21,42,17,19,66,26,90,102,114,126,93,51,53,55,174,123,198,210,

%T 147,234,165,258,89,91,282,97,306,318,330,342,237,245,127,390,267,414,

%U 426,291,149,151,309,474,161,163,498,170,347,534,546,558,381,582,197

%N Sum of the n-th maximal run of squarefree numbers.

%C The length of this run is given by A120992.

%C A run of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by 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-sums of:

%e    1   2   3

%e    5   6   7

%e   10  11

%e   13  14  15

%e   17

%e   19

%e   21  22  23

%e   26

%e   29  30  31

%e   33  34  35

%e   37  38  39

%e   41  42  43

%e   46  47

%e   51

%e   53

%e   55

%e   57  58  59

%t Total/@Split[Select[Range[100],SquareFreeQ],#1+1==#2&]//Most

%Y The partial sums are a subset of A173143.

%Y Functional neighbors: A054265, A072284, A120992, A373406, A373411, A373414, A373415.

%Y A005117 lists the squarefree numbers, first differences A076259.

%Y A013929 lists the nonsquarefree numbers, first differences A078147.

%Y Cf. A049093, A049095, A061398, A077641, A077643, A143658, A371201, A373123, A373125, A373126, A373197.

%K nonn

%O 1,1

%A _Gus Wiseman_, Jun 05 2024