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!)
A258644 Fourth arithmetic derivative of n. 4

%I #7 Aug 31 2015 21:05:48

%S 0,0,0,0,4,0,0,0,80,0,0,0,176,0,1,32,368,0,1,0,112,0,0,0,240,0,16,27,

%T 368,0,0,0,752,5,0,80,272,0,1,176,220,0,0,0,608,80,1,0,1552,5,32,48,

%U 272,0,540,176,560,0,0,0,560,0,6,44,7168,7,0,0,284,12,0

%N Fourth arithmetic derivative of n.

%H Alois P. Heinz, <a href="/A258644/b258644.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = A003415^4(n).

%p d:= n-> n*add(i[2]/i[1], i=ifactors(n)[2]):

%p A:= proc(n, k) option remember; `if`(k=0, n, d(A(n, k-1))) end:

%p a:= n-> A(n, 4):

%p seq(a(n), n=0..70);

%Y Column k=4 of A258651.

%Y Cf. A003415.

%K nonn,look

%O 0,5

%A _Alois P. Heinz_, Jun 06 2015

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 May 12 16:52 EDT 2024. Contains 372492 sequences. (Running on oeis4.)