This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A099301 #6 May 28 2017 09:14:06
%S A099301 0,1,1,1,1,4,1,4,1,4,1,5,1,4,4,1,1,5,1,5,4,4,1,12,1,4,4,5,1,12,1,5,4,
%T A099301 4,4,6,1,4,4,12,1,12,1,5,5,4,1,7,1,5,4,5,1,12,4,12,4,4,1,16,1,4,5,1,4,
%U A099301 12,1,5,4,12,1,16,1,4,5,5,4,12,1,7,1,4,1,16,4,4,4,12,1,16,4,5,4,4,4,16,1,5
%N A099301 Arithmetic derivative of d(n), the number of divisors of n.
%D A099301 See A003415.
%H A099301 Antti Karttunen, <a href="/A099301/b099301.txt">Table of n, a(n) for n = 1..10000</a>
%F A099301 a(n) = A003415(A000005(n)).
%t A099301 dn[0]=0; dn[1]=0; dn[n_]:=Module[{f=Transpose[FactorInteger[n]]}, If[PrimeQ[n], 1, Plus@@(n*f[[2]]/f[[1]])]]; Table[dn[DivisorSigma[0, n]], {n, 150}]
%Y A099301 Cf. A000005, A003415 (arithmetic derivative of n).
%K A099301 nonn
%O A099301 1,6
%A A099301 _T. D. Noe_, Oct 12 2004