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A373197
Sum of all squarefree numbers from prime(n) to prime(n+1) - 1.
19
2, 3, 11, 17, 11, 42, 17, 62, 49, 59, 133, 114, 83, 89, 98, 223, 59, 254, 206, 71, 302, 161, 341, 462, 97, 203, 314, 107, 330, 824, 386, 398, 275, 856, 149, 460, 635, 494, 337, 702, 179, 1294, 191, 582, 197, 1635, 1950, 449, 227, 690, 943, 239, 983, 1013, 1036
OFFSET
1,1
EXAMPLE
This is the sequence of row sums of A005117 treated as a triangle with row-lengths A373198:
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
MATHEMATICA
Table[Total[Select[Range[Prime[n], Prime[n+1]-1], SquareFreeQ]], {n, 15}]
CROSSREFS
Counting all numbers (not just squarefree) gives A371201.
For the sectioning of A005117 (squarefree between prime):
- sum is A373197 (this sequence)
- length is A373198 = A061398 - 1
- min is A000040
- max is A112925, opposite A112926
For squarefree numbers between powers of two:
- sum is A373123
- length is A077643, partial sums A143658
- min is A372683, delta A373125, indices A372540, firsts of A372475
- max is A372889, delta A373126
For primes between powers of two:
- sum is A293697 (except initial terms)
- length is A036378
- min is A104080 or A014210, indices A372684 (firsts of A035100)
- max is A014234, delta A013603
Cf. A372473 (firsts of A372472), A372541 (firsts of A372433).
Sequence in context: A280969 A349565 A091734 * A341784 A038902 A019355
KEYWORD
nonn
AUTHOR
Gus Wiseman, May 29 2024
STATUS
approved