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A373411
Sum of the n-th maximal antirun of squarefree numbers differing by more than one.
13
1, 2, 8, 6, 17, 24, 14, 72, 22, 78, 30, 64, 34, 72, 38, 80, 42, 89, 263, 58, 120, 127, 66, 136, 70, 144, 151, 78, 161, 168, 86, 360, 94, 293, 102, 208, 106, 216, 110, 224, 114, 233, 241, 379, 130, 264, 271, 138, 280, 142, 288, 600, 312, 158, 648, 166, 510, 351
OFFSET
1,2
COMMENTS
The length of this antirun is given by A373127.
An antirun of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by more than one.
EXAMPLE
Row-sums of:
1
2
3 5
6
7 10
11 13
14
15 17 19 21
22
23 26 29
30
31 33
34
35 37
38
39 41
42
43 46
47 51 53 55 57
MATHEMATICA
Total/@Split[Select[Range[100], SquareFreeQ], #1+1!=#2&]//Most
CROSSREFS
The partial sums are a subset of A173143.
Functional neighbors: A007674, A373127 (firsts A373128, sorted firsts A373200), A373404, A373405, A373408, A373412, A373413.
A005117 lists the squarefree numbers, first differences A076259.
A013929 lists the nonsquarefree numbers, first differences A078147.
Sequence in context: A019243 A375737 A246009 * A100871 A111860 A278160
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jun 05 2024
STATUS
approved