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A329039 If n = Product p_i^e_i, a(n) = n * Sum ((e_i - 1)/p_i). 5

%I #10 Nov 07 2019 14:39:18

%S 0,0,0,2,0,0,0,8,3,0,0,6,0,0,0,24,0,6,0,10,0,0,0,24,5,0,18,14,0,0,0,

%T 64,0,0,0,30,0,0,0,40,0,0,0,22,15,0,0,72,7,10,0,26,0,36,0,56,0,0,0,30,

%U 0,0,21,160,0,0,0,34,0,0,0,96,0,0,15,38,0,0,0,120,81,0,0,42,0,0,0,88,0,30,0,46,0,0,0,192,0,14,33,70,0,0,0,104,0

%N If n = Product p_i^e_i, a(n) = n * Sum ((e_i - 1)/p_i).

%H Antti Karttunen, <a href="/A329039/b329039.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = A003415(n) - A069359(n).

%o (PARI) A329039(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, ((f[i, 2]-1)/f[i, 1])));

%Y Cf. A003415, A069359.

%Y Cf. A005117 (positions of zeros).

%K nonn

%O 1,4

%A _Antti Karttunen_, Nov 07 2019

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