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a(n) = A003557(A181819(n)).
6

%I #8 Apr 03 2022 13:54:21

%S 1,1,1,1,1,2,1,1,1,2,1,1,1,2,2,1,1,1,1,1,2,2,1,1,1,2,1,1,1,4,1,1,2,2,

%T 2,3,1,2,2,1,1,4,1,1,1,2,1,1,1,1,2,1,1,1,2,1,2,2,1,2,1,2,1,1,2,4,1,1,

%U 2,4,1,1,1,2,1,1,2,4,1,1,1,2,1,2,2,2,2,1,1,2,2,1,2,2,2,1,1,1,1,3,1,4,1,1,4

%N a(n) = A003557(A181819(n)).

%H Antti Karttunen, <a href="/A351944/b351944.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>

%F a(n) = A181819(n) / A329601(n) = A003557(A181819(n)).

%o (PARI)

%o A003557(n) = (n/factorback(factorint(n)[, 1]));

%o A181819(n) = factorback(apply(e->prime(e),(factor(n)[,2])));

%o A351944(n) = A003557(A181819(n));

%Y Cf. A003557, A181819, A329601, A351945.

%Y Cf. also A295879.

%K nonn

%O 1,6

%A _Antti Karttunen_, Apr 02 2022