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A363298 Number of refactorable unitary divisors of n.

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%I A363298 #9 May 27 2023 13:06:33
%S A363298 1,2,1,1,1,2,1,2,2,2,1,2,1,2,1,1,1,4,1,1,1,2,1,3,1,2,1,1,1,2,1,1,1,2,
%T A363298 1,3,1,2,1,3,1,2,1,1,2,2,1,1,1,2,1,1,1,2,1,3,1,2,1,3,1,2,2,1,1,2,1,1,
%U A363298 1,2,1,4,1,2,1,1,1,2,1,2,1,2,1,3,1,2,1,3,1,4
%N A363298 Number of refactorable unitary divisors of n.
%F A363298 a(n) = Sum_{d|n, tau(d)|d, gcd(d,n/d)=1} 1.
%t A363298 a[n_] := DivisorSum[n, 1 &, CoprimeQ[#, n/#] && Divisible[#, DivisorSigma[0, #]] &]; Array[a, 100] (* _Amiram Eldar_, May 26 2023 *)
%Y A363298 Cf. A034444, A336041, A363085.
%K A363298 nonn,easy
%O A363298 1,2
%A A363298 _Wesley Ivan Hurt_, May 26 2023