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A302478 Products of prime numbers of squarefree index. 14
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

Andrew Howroyd, Table of n, a(n) for n = 1..1000

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.

Sequence in context: A043092 A023801 A267305 * A113619 A325114 A004765

Adjacent sequences:  A302475 A302476 A302477 * A302479 A302480 A302481

KEYWORD

nonn

AUTHOR

Gus Wiseman, Apr 08 2018

STATUS

approved

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Last modified July 14 05:39 EDT 2020. Contains 335716 sequences. (Running on oeis4.)