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A373413 Sum of the n-th maximal run of squarefree numbers.

%I A373413 #7 Jun 07 2024 08:03:36
%S A373413 6,18,21,42,17,19,66,26,90,102,114,126,93,51,53,55,174,123,198,210,
%T A373413 147,234,165,258,89,91,282,97,306,318,330,342,237,245,127,390,267,414,
%U A373413 426,291,149,151,309,474,161,163,498,170,347,534,546,558,381,582,197
%N A373413 Sum of the n-th maximal run of squarefree numbers.
%C A373413 The length of this run is given by A120992.
%C A373413 A run of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by one.
%H A373413 Gus Wiseman, <a href="/A373403/a373403.txt">Four statistics for runs and antiruns of prime, nonprime, squarefree, and nonsquarefree numbers</a>
%e A373413 Row-sums of:
%e A373413    1   2   3
%e A373413    5   6   7
%e A373413   10  11
%e A373413   13  14  15
%e A373413   17
%e A373413   19
%e A373413   21  22  23
%e A373413   26
%e A373413   29  30  31
%e A373413   33  34  35
%e A373413   37  38  39
%e A373413   41  42  43
%e A373413   46  47
%e A373413   51
%e A373413   53
%e A373413   55
%e A373413   57  58  59
%t A373413 Total/@Split[Select[Range[100],SquareFreeQ],#1+1==#2&]//Most
%Y A373413 The partial sums are a subset of A173143.
%Y A373413 Functional neighbors: A054265, A072284, A120992, A373406, A373411, A373414, A373415.
%Y A373413 A005117 lists the squarefree numbers, first differences A076259.
%Y A373413 A013929 lists the nonsquarefree numbers, first differences A078147.
%Y A373413 Cf. A049093, A049095, A061398, A077641, A077643, A143658, A371201, A373123, A373125, A373126, A373197.
%K A373413 nonn
%O A373413 1,1
%A A373413 _Gus Wiseman_, Jun 05 2024