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A373413
Sum of the n-th maximal run of squarefree numbers.
12
6, 18, 21, 42, 17, 19, 66, 26, 90, 102, 114, 126, 93, 51, 53, 55, 174, 123, 198, 210, 147, 234, 165, 258, 89, 91, 282, 97, 306, 318, 330, 342, 237, 245, 127, 390, 267, 414, 426, 291, 149, 151, 309, 474, 161, 163, 498, 170, 347, 534, 546, 558, 381, 582, 197
OFFSET
1,1
COMMENTS
The length of this run is given by A120992.
A run of a sequence (in this case A005117) is an interval of positions at which consecutive terms differ by 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 58 59
MATHEMATICA
Total/@Split[Select[Range[100], SquareFreeQ], #1+1==#2&]//Most
CROSSREFS
The partial sums are a subset of A173143.
Functional neighbors: A054265, A072284, A120992, A373406, A373411, A373414, A373415.
A005117 lists the squarefree numbers, first differences A076259.
A013929 lists the nonsquarefree numbers, first differences A078147.
Sequence in context: A186889 A022418 A350848 * A358748 A081318 A275168
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jun 05 2024
STATUS
approved