login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144147 A positive integer n is included if every exponent in the prime-factorization of n is coprime to n and if the sum of these prime-factorization exponents divides n. 0
2, 3, 5, 6, 7, 10, 11, 13, 14, 17, 19, 22, 23, 26, 29, 30, 31, 34, 37, 38, 40, 41, 42, 43, 45, 46, 47, 53, 56, 58, 59, 61, 62, 63, 66, 67, 71, 73, 74, 75, 78, 79, 82, 83, 86, 88, 89, 94, 96, 97, 99, 101, 102, 103, 104, 105, 106, 107, 109, 113, 114, 117, 118, 122, 127, 131 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All primes are included in the sequence. Any integer = 2*(odd prime) is included in the sequence. This sequence contains those terms in both sequence A074946 and sequence A144146.

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

40 has the prime factorization of 2^3 * 5^1. The exponents are therefore 3 and 1. Both 3 and 1 are coprime to 40. And 3+1 = 4 divides 40. So 40 is included in the sequence.

CROSSREFS

A074946, A144146

Sequence in context: A325362 A325396 A326533 * A068422 A085118 A276579

Adjacent sequences:  A144144 A144145 A144146 * A144148 A144149 A144150

KEYWORD

nonn

AUTHOR

Leroy Quet, Sep 11 2008

EXTENSIONS

Extended by Ray Chandler, Nov 04 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 13 12:45 EST 2019. Contains 329094 sequences. (Running on oeis4.)