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A373411 Sum of the n-th maximal antirun of squarefree numbers differing by more than one.

%I A373411 #6 Jun 07 2024 08:04:47
%S A373411 1,2,8,6,17,24,14,72,22,78,30,64,34,72,38,80,42,89,263,58,120,127,66,
%T A373411 136,70,144,151,78,161,168,86,360,94,293,102,208,106,216,110,224,114,
%U A373411 233,241,379,130,264,271,138,280,142,288,600,312,158,648,166,510,351
%N A373411 Sum of the n-th maximal antirun of squarefree numbers differing by more than one.
%C A373411 The length of this antirun is given by A373127.
%C A373411 An antirun of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by more than one.
%H A373411 Gus Wiseman, <a href="/A373403/a373403.txt">Four statistics for runs and antiruns of prime, nonprime, squarefree, and nonsquarefree numbers</a>
%e A373411 Row-sums of:
%e A373411    1
%e A373411    2
%e A373411    3  5
%e A373411    6
%e A373411    7 10
%e A373411   11 13
%e A373411   14
%e A373411   15 17 19 21
%e A373411   22
%e A373411   23 26 29
%e A373411   30
%e A373411   31 33
%e A373411   34
%e A373411   35 37
%e A373411   38
%e A373411   39 41
%e A373411   42
%e A373411   43 46
%e A373411   47 51 53 55 57
%t A373411 Total/@Split[Select[Range[100],SquareFreeQ],#1+1!=#2&]//Most
%Y A373411 The partial sums are a subset of A173143.
%Y A373411 Functional neighbors: A007674, A373127 (firsts A373128, sorted firsts A373200), A373404, A373405, A373408, A373412, A373413.
%Y A373411 A005117 lists the squarefree numbers, first differences A076259.
%Y A373411 A013929 lists the nonsquarefree numbers, first differences A078147.
%Y A373411 Cf. A025157, A049093, A061398, A077641, A077643, A112925, A112926, A143658, A372683, A373123, A373197, A373198.
%K A373411 nonn
%O A373411 1,2
%A A373411 _Gus Wiseman_, Jun 05 2024