%I #12 Oct 01 2019 19:50:52

%S 4,8,12,15,16,20,24,27,28,32,35,36,39,40,44,48,51,52,54,55,56,60,64,

%T 68,72,76,80,81,84,87,88,91,92,95,96,100,104,108,111,112,115,116,119,

%U 120,123,124,128,132,135,136,140,143,144,148,152,155,156,158,159,160,162,164,168,172,176,180,183,184,187,188,189,192,196,200

%N Numbers for which there is at least one such prime p that p^p divides the arithmetic derivative of n, A003415(n).

%C Numbers k such that A327928(k) = A129251(A003415(k)) is > 0, i.e., numbers whose arithmetic derivative is in A100716.

%C For all n, A003415(a(n)) is also present in this sequence and A003415(a(n)) = m * A327965(a(n)) for some m > 1.

%H Antti Karttunen, <a href="/A327929/b327929.txt">Table of n, a(n) for n = 1..30000</a>

%o (PARI)

%o A003415(n) = {my(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]))}; \\ From A003415

%o A129251(n) = { my(f = factor(n)); sum(k=1, #f~, (f[k, 2]>=f[k, 1])); };

%o A327928(n) = if(n<=1,0,A129251(A003415(n)));

%o isA327929(n) = (A327928(n)>0);

%Y Cf. A003415, A100716, A129251, A327965.

%Y Indices of nonzero terms in A327928.

%Y Cf. A099309, A327934 for subsequences.

%K nonn

%O 1,1

%A _Antti Karttunen_, Oct 01 2019