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A339664 Number of nonempty subsets of divisors of n whose geometric mean is an integer.

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%I A339664 #6 Feb 16 2025 08:34:01
%S A339664 1,2,2,5,2,4,2,8,5,4,2,10,2,4,4,15,2,10,2,10,4,4,2,16,5,4,8,10,2,8,2,
%T A339664 26,4,4,4,63,2,4,4,16,2,8,2,10,10,4,2,30,5,10,4,10,2,16,4,16,4,4,2,20,
%U A339664 2,4,10,45,4,8,2,10,4,8,2,196,2,4,10,10,4,8,2,30
%N A339664 Number of nonempty subsets of divisors of n whose geometric mean is an integer.
%H A339664 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GeometricMean.html">Geometric Mean</a>
%H A339664 <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>
%e A339664 a(12) = 10 subsets: {1}, {2}, {3}, {4}, {6}, {12}, {1, 4}, {3, 12}, {1, 2, 4} and {3, 6, 12}.
%Y A339664 Cf. A027750, A100587, A326027, A339663, A339665, A339666.
%K A339664 nonn
%O A339664 1,2
%A A339664 _Ilya Gutkovskiy_, Dec 11 2020