|
|
A302478
|
|
Products of prime numbers of squarefree index.
|
|
33
|
|
|
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 20, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 39, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 54, 55, 58, 59, 60, 62, 64, 65, 66, 67, 68, 72, 73, 75, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 90, 93, 94
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
A prime index of n is a number m such that prime(m) divides n.
|
|
LINKS
|
|
|
EXAMPLE
|
Entry A302242 describes a correspondence between positive integers and multiset multisystems. In this case it gives the following sequence of set multisystems.
01: {}
02: {{}}
03: {{1}}
04: {{},{}}
05: {{2}}
06: {{},{1}}
08: {{},{},{}}
09: {{1},{1}}
10: {{},{2}}
11: {{3}}
12: {{},{},{1}}
13: {{1,2}}
15: {{1},{2}}
16: {{},{},{},{}}
17: {{4}}
18: {{},{1},{1}}
20: {{},{},{2}}
22: {{},{3}}
24: {{},{},{},{1}}
25: {{2},{2}}
26: {{},{1,2}}
27: {{1},{1},{1}}
29: {{1,3}}
30: {{},{1},{2}}
31: {{5}}
32: {{},{},{},{},{}}
|
|
MATHEMATICA
|
Select[Range[100], Or[#===1, And@@SquareFreeQ/@PrimePi/@FactorInteger[#][[All, 1]]]&]
|
|
PROG
|
(PARI) ok(n)={!#select(p->!issquarefree(primepi(p)), factor(n)[, 1])} \\ Andrew Howroyd, Aug 26 2018
|
|
CROSSREFS
|
Cf. A000961, A001222, A003963, A005117, A007716, A050320, A056239, A063834, A076610, A270995, A275024, A281113, A296119, A301753, A302242, A302243, A302491.
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|