login
The OEIS is supported by the many generous donors 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

%I #5 Apr 09 2014 10:16:01

%S 2,3,5,6,7,10,11,13,14,17,19,22,23,26,29,30,31,34,37,38,40,41,42,43,

%T 45,46,47,53,56,58,59,61,62,63,66,67,71,73,74,75,78,79,82,83,86,88,89,

%U 94,96,97,99,101,102,103,104,105,106,107,109,113,114,117,118,122,127,131

%N 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.

%C 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.

%e 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.

%Y A074946, A144146

%K nonn

%O 1,1

%A _Leroy Quet_, Sep 11 2008

%E Extended by _Ray Chandler_, Nov 04 2008

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)