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%I #6 Jan 26 2024 10:20:33
%S 0,1,0,0,0,0,1,0,1,5,0,0,0,0,1,1,0,0,0,0,1,7,0,0,0,7,8,1,0,0,0,0,0,9,
%T 0,5,1,0,10,1,0,0,0,0,1,1,10,0,1,9,8,7,1,0,0,1,0,1,0,0,0,0,1,1,1,21,0,
%U 0,1,1,0,0,0,0,1,1,1,21,0,0,0,5,0,0,0,1,8,1,12,0,0,1,1,1,14,5,0,0,1,8,12,0,1
%N a(n) = A003415(gcd(A003415(n), A276086(n))), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.
%H Antti Karttunen, <a href="/A369449/b369449.txt">Table of n, a(n) for n = 0..16384</a>
%F a(n) = A003415(A327858(n)).
%o (PARI)
%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A369449(n) = A003415(gcd(A003415(n), A276086(n)));
%Y Cf. A003415, A276086, A327858.
%K nonn
%O 0,10
%A _Antti Karttunen_, Jan 26 2024
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