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!)
A069926 Number of k, 1<=k<=n, such that k divides sigma(k). 2

%I #21 Aug 30 2018 11:43:15

%S 1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,

%T 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

%U 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3

%N Number of k, 1<=k<=n, such that k divides sigma(k).

%C a(n) is the number of multiply-perfect numbers (A007691) <= n. - _Robert Israel_, Aug 29 2018

%H Robert Israel, <a href="/A069926/b069926.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = Card(k: 1<=k<=n : sigma(k) == 0 (mod k) ).

%o (PARI) for(n=1,150,print1(sum(i=1,n,if(sigma(i)%(i),0,1)),","))

%Y Cf. A007691.

%K easy,nonn

%O 1,6

%A _Benoit Cloitre_, May 05 2002

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 August 26 22:10 EDT 2024. Contains 375462 sequences. (Running on oeis4.)