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A376164
Maximum of the n-th maximal run of nonsquarefree numbers (increasing by 1 at a time).
2
4, 9, 12, 16, 18, 20, 25, 28, 32, 36, 40, 45, 50, 52, 54, 56, 60, 64, 68, 72, 76, 81, 84, 88, 90, 92, 96, 100, 104, 108, 112, 117, 121, 126, 128, 132, 136, 140, 144, 148, 150, 153, 156, 160, 162, 164, 169, 172, 176, 180, 184, 189, 192, 196, 198, 200, 204, 208
OFFSET
1,1
EXAMPLE
The maximal runs of nonsquarefree numbers begin:
4
8 9
12
16
18
20
24 25
27 28
32
36
40
44 45
48 49 50
MATHEMATICA
Max/@Split[Select[Range[100], !SquareFreeQ[#]&], #1+1==#2&]//Most
CROSSREFS
For length instead of maximum we have A053797 (firsts A373199).
For lengths of anti-runs we have A373409 (firsts A373573).
For sum instead of maximum we have A373414, anti A373412.
For minimum instead of maximum we have A053806, anti A373410.
For anti-runs instead of runs we have A068781.
For squarefree instead of nonsquarefree we have A373415, anti A007674.
For nonprime instead of nonsquarefree we have A006093 with 2 removed.
A005117 lists the squarefree numbers, first differences A076259.
A013929 lists the nonsquarefree numbers, differences A078147, sums A329472.
A061398 counts squarefree numbers between primes, nonsquarefree A061399.
A120992 gives squarefree run-lengths, anti A373127 (firsts A373128).
A373413 adds up each maximal run of squarefree numbers, min A072284.
A375707 counts squarefree numbers between consecutive nonsquarefree numbers.
Sequence in context: A094120 A066423 A355571 * A072498 A162643 A072587
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 15 2024
STATUS
approved