%I #7 Jul 30 2023 21:55:22
%S 0,0,0,1,0,1,0,3,1,1,0,5,0,1,1,7,0,5,0,5,1,1,0,13,1,1,3,5,0,7,0,13,1,
%T 1,1,17,0,1,1,13,0,7,0,5,5,1,0,28,1,5,1,5,0,13,1,13,1,1,0,24,0,1,5,23,
%U 1,7,0,5,1,7,0,40,0,1,5,5,1,7,0,28,7,1,0,24,1,1,1
%N Total number of distinct ways the divisors of n can be the product of other nontrivial divisors of n.
%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>
%F a(n) = A057567(n) - A000005(n).
%F a(n) = Sum_{d|n} (A001055(d)-1).
%e a(24) = 13 ways: 2*2, 2*3, 2*2*2, 2*4, 2*2*3, 3*4, 2*6, 2*2*2*3, 2*2*6, 2*3*4, 4*6, 2*12, 3*8.
%Y Cf. A000005, A001055, A057567.
%K nonn,easy
%O 1,8
%A _Wesley Ivan Hurt_, Jun 20 2023
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