%I #6 Jun 07 2024 08:04:47
%S 1,2,8,6,17,24,14,72,22,78,30,64,34,72,38,80,42,89,263,58,120,127,66,
%T 136,70,144,151,78,161,168,86,360,94,293,102,208,106,216,110,224,114,
%U 233,241,379,130,264,271,138,280,142,288,600,312,158,648,166,510,351
%N Sum of the n-th maximal antirun of squarefree numbers differing by more than one.
%C The length of this antirun is given by A373127.
%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-sums 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 Total/@Split[Select[Range[100],SquareFreeQ],#1+1!=#2&]//Most
%Y The partial sums are a subset of A173143.
%Y Functional neighbors: A007674, A373127 (firsts A373128, sorted firsts A373200), A373404, A373405, A373408, A373412, A373413.
%Y A005117 lists the squarefree numbers, first differences A076259.
%Y A013929 lists the nonsquarefree numbers, first differences A078147.
%Y Cf. A025157, A049093, A061398, A077641, A077643, A112925, A112926, A143658, A372683, A373123, A373197, A373198.
%K nonn
%O 1,2
%A _Gus Wiseman_, Jun 05 2024