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A373412
Sum of the n-th maximal antirun of nonsquarefree numbers differing by more than one.
14
12, 99, 52, 180, 93, 49, 335, 279, 156, 629, 99, 540, 237, 245, 125, 521, 567, 450, 963, 340, 347, 728, 1386, 1080, 1637, 243, 244, 1511, 1610, 555, 852, 1171, 2142, 960, 985, 1689, 343, 1042, 351, 1068, 724, 732, 1116, 1905, 1980, 2898, 424, 2161, 3150, 2339
OFFSET
1,1
COMMENTS
The length of this antirun is given by A373409.
An antirun of a sequence (in this case A013929) is an interval of positions at which consecutive terms differ by more than one.
EXAMPLE
Row-sums of:
4 8
9 12 16 18 20 24
25 27
28 32 36 40 44
45 48
49
50 52 54 56 60 63
64 68 72 75
76 80
81 84 88 90 92 96 98
99
MATHEMATICA
Total/@Split[Select[Range[100], !SquareFreeQ[#]&], #1+1!=#2&]//Most
CROSSREFS
The partial sums are a subset of A329472.
Functional neighbors: A068781, A373404, A373405, A373409, A373410, A373411, A373414.
A005117 lists the squarefree numbers, first differences A076259.
A013929 lists the nonsquarefree numbers, first differences A078147.
Sequence in context: A216028 A238755 A159449 * A282285 A090230 A133652
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jun 06 2024
STATUS
approved