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!)
A369907 a(n) = n * Sum_{p|n, p prime} omega(n/p) / p. 0

%I #6 Jun 26 2024 15:23:13

%S 0,0,0,2,0,5,0,4,3,7,0,16,0,9,8,8,0,21,0,24,10,13,0,32,5,15,9,32,0,62,

%T 0,16,14,19,12,60,0,21,16,48,0,82,0,48,39,25,0,64,7,45,20,56,0,63,16,

%U 64,22,31,0,154,0,33,51,32,18,122,0,72,26,118,0,120,0,39

%N a(n) = n * Sum_{p|n, p prime} omega(n/p) / p.

%F a(p^k) = p^(k-1), for p prime and k >= 1. - _Wesley Ivan Hurt_, Jun 26 2024

%t Table[n*DivisorSum[n, PrimeNu[n/#]/# &, PrimeQ[#] &], {n, 100}]

%Y Cf. A001221 (omega), A345354, A345355, A369744.

%K nonn,easy

%O 1,4

%A _Wesley Ivan Hurt_, Feb 05 2024

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 30 15:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)